DESCRIBE how a power with a zero exponent (a^0) and a power with a negative exponent (a^−n) can be simplified.

Answers

Answer 1

Answer:

[tex]a^{-n}[/tex] is [tex](\frac{1}{a})^{n}[/tex] OR [tex]\frac{1}{a^{n} }[/tex]

[tex]a^{0}[/tex] = 1, where a ≠ 0

Step-by-step explanation:

To simplify the exponents, you must put it in positive value

Example:

The simplest form of [tex]2^{-3}[/tex] is to change the exponent from negative value to positive value.

You can do that by reciprocal the number, [tex]2^{-3}=(\frac{1}{2})^{3}[/tex]You can write it [tex]\frac{1}{2^{3}}[/tex], because 1 to any power equal 1

That means if you want to simplify [tex]a^{-n}[/tex], reciprocal a and change the sign of the power from -n to n

The simplest form of [tex]a^{-n}[/tex] is [tex](\frac{1}{a})^{n}[/tex] OR [tex]\frac{1}{a^{n} }[/tex]

For any number, a (a ≠ 0), 1 × a = a, so, the reason that any number to the zero power is 1 because any number to the zero power is just the product of no numbers at all, which is the multiplicative identity, (1)

Example:

The value of [tex](5)^{0}[/tex] = 1, because it is the product of no numbers, so it is equal to the multiplicative identity (1)

That means [tex]a^{0}[/tex] = 1, where a ≠ 0

Very important note:

[tex](0)^{0}[/tex] is undefined value


Related Questions

HELP ASAP PLEASE ! Which graph represents the equation Y=-3/2x-3 .. answer choices are in the pic

Answers

Answer:

The third ,bottom left.

Step-by-step explanation:

The y goes -3 below the line and -3/2 which means it goes to the right of the graph.

The Points are (-2,0),(0,-3)

slope of (-7,8) (-7,5)

Answers

answer is undefined

−4−5+4+(−5)
this is from khan

Answers

Answer:

-10

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

Just do it! But first, take notice that the positive and the negative 4 cancels each other out. So it leaves -5 + (-5) which equals -5-5 which is -10.

Find x, y, and z

x = 39
x = 29
y = 61
y = 29
z = 61
z = 29

Answers

answer:

x = 29

y = 29

z = 61

step-by-step explanation:

all angles in a triangle must equal 180 degrees.

we were already given the angle degree of 61 degrees so we must include that in our formula to determine the degree of y.

the line in the middle already gives us two more angles because they both are 90 degrees for being a perfect quarter turn.

so to figure out y,

we must add 61+90 and then subtract the sum of that from 180.

so, 61+90 = 150 and 180-151 = 29

therefore,

we can conclude that y = 29

now, to determine the degrees of x and z we do the same thing.

we already know one angle equals 90 degrees.

180-90 = 90

that concludes that x and z must have a sum of 90.

if we use our choices,

39+61 = 100 (no)

39+29 = 68 (no)

29+61 = 90 (CORRECT)

29+29 = 28 (no)

therefore, x = 29 and z = 61

so, in total :

x = 29

y = 29

z = 61

hope this helps :)  

-audrey <3


How do I find angles c,g and k

Answers

Answer:

a. m<C = 50 deg

b. m<G = 125 deg

c. m<K = 75 deg

Step-by-step explanation:

a.

Look at the two lines marked parallel with 2 marks each.

Angle C and angle 50 deg are alternate interior angles of 2 parallel lines cut by a transversal That makes angle C congruent to the 50-deg angle.

Answer: m<C = 50 deg

b.

Angle G is vertical to thh 125-deg angle. Vertical angles are congruent, so m<G = 125 deg

Answer: m<G = 125 deg

c.

Look at the two lines marked parallel with one mark each.

Angles e and c are corresponding angles, so they are congruent.

m<E = m<C = 50 deg

The 125 deg angle and angle F are a linear pair, so their measures add up to 180.

f + 125 = 180

m<F = 55 deg

Angles E, F and K are the interior angles of a triangle, so their measures add up to 180 deg.

e + f + k = 180

50 + 55 + k = 180

k = 75

m<K = 75 deg

How do I do this?

Give the algebraic expression for each of the following:
The sum of 20 and a number, m

Answers

Answer:

The sum of 20 and a number,m = 20+m

Hector is visiting a cousin who lives 310 miles away he has driven a hundred miles how many more miles does he need to drive to riches cousins home let Z be how many miles left to riches cousins home​

Answers

210 miles left out of the total 310 miles

Frank liked to buy packs of baseball cards. On 3 different days, he bought 3 packs. On 3 other days, he bought 4 packs each day. After that he split his packs with his 2 brothers. How many packs will they each have? Choose the expression that best matches this situation. [(3 x 3) + (4 x 3)] ÷ 3 [(3 x 3) + (4 x 3)] - 3 (3 x 3) + [(4 x 3) ÷ 3] [(3 x 3) + (4 x 3) ÷ 3]

Answers

Answer:

[(3 x 3) + (4 x 3)] ÷ 3

Step-by-step explanation:

Choose the expression that best matches this situation.

[(3 x 3) + (4 x 3)] ÷ 3

[(3 x 3) + (4 x 3)] - 3

(3 x 3) + [(4 x 3) ÷ 3]

[(3 x 3) + (4 x 3) ÷ 3]

On 3 different days, he bought 3 packs

= 3 × 3

= 9 packs

On 3 other days, he bought 4 packs each day.

= 4 × 3

= 12 packs

After that he split his packs with his 2 brothers

= (9 + 12) / 3

= 21 / 3

= 7 packs each for him and his two brothers

Here is the expression:

[(3 x 3) + (4 x 3)] ÷ 3

= (9 + 12) ÷ 3

= 21 / 3

= 7 packs

How many quarts, rounded to the nearest tenth, are in 50 liters?

Answers

Answer: 52.9 quarts

Step-by-step explanation:

From the question, we are informed to calculate the number of quarts that are in 50 liters.

1 liter = 1.057 liquid quarts

50 liters will now be:

= 50 × 1.057

= 52.85

= 52.9 quarts

There are 52.8 quarts rounded to the nearest tenth

In order to get the number of quarts in 50 litres, we will use the following conversion:

1 litres = 1.05669 quartz

For 50 litres;

50 litres = x

Divide both expressions

[tex]\frac{1}{50} = \frac{1.05669}{x} \\Cross \ multiply\\x = 50 \times 1.05669\\x = 52.8345[/tex]

This shows that there are 52.8 quarts rounded to the nearest tenth

Learn more here: https://brainly.com/question/17187589

Convert 10 quarts (qt) to cubic feet (ft^3)

Answers

Answer:

10 US liquid quarts is 0.334201 cubic feet.          

What is the Next three term of this sequence 1,-3,-7,-11
Please help me

Answers

Answer:

-15, -19, -23

Step-by-step explanation:

Simply subtract 4 from the terms

Answer:

15 is the answer

Step-by-step explanation:

If Art weighs 200 pounds at sea level, how much will he weigh on Mt. Everest, which is 29,035 feet above sea level? _ pounds

(Round answer to three decimal places. Do not round the numbers in your work. Only round the final answer)

If an object weighs m pounds at sea level, then its weight W (in pounds) at a height of h miles above sea level is given by W(h) = m(4000/(4000 + h))2. (1 mile = 5280 feet)

(W of h equals m times the quantity of (4000 over the quantity (4000 plus h)) squared)



If Art weighs 200 pounds at sea level, how much will he weigh on Mt. Everest, which is 29,035 feet above sea level?

Answers

Answer:

its 1,456,000

Step-by-step explanation:

first you multiply 200 times 5280 and add 4000 if thats right uon

4X + 2( X+ 7) = 5(X-3) *

Answers

Answer:

x= -29

Step-by-step explanation:

hi! let's start off by distributing.

4x+2(x+7)=5(x-3)

4x+(2x+14)=5x-15   combine like terms

6x+14=5x-15   subtract 5x on both sides

x+14=-15   subtract 14 on both sides

x= -29

there's your answer!

Answer:

x = -29

Step-by-step explanation:

4x + 2x +14 = 5x - 15

6x + 14 =5x - 15

x = -29

Please correct me if I'm wrong.

A smartphone device has a certain cost. A person gets this smartphone and signs up for a monthly wireless plan with a fixed base price plus a charge per GB of data used. Which is the Independent Variable in this scenario? A. The cost of the smartphone device. B. The charge per GB of data used. C. The number of GB data used. D. The total amount they pay for the new device and new phone plan in the first month. Need an answer fast! Due very soon! Don't understand!

Answers

Answer:

The independent variable is: "the cost of the smart phone"

Step-by-step explanation:

An independent variable is simply one that doesn't depend on other variables measured in the same sentence.

Now, in the question, we are told that the smart phone device has a fixed cost. This means that the cost doesn't depend on any other variable mentioned in the sentence.

Thus, the independent variable is: "the cost of the smart phone"

find the zero for f (x)=80-10x

Answers

Answer: =80/11

Step-by-step explanation:x=80-10x

We move all terms to the left:

x-(80-10x)=0

We add all the numbers together, and all the variables

x-(-10x+80)=0

We get rid of parentheses

x+10x-80=0

We add all the numbers together, and all the variables

11x-80=0

We move all terms containing x to the left, all other terms to the right

11x=80

x=80/11

x=7+3/11

68 is the product of h and 4

Answers

Answer:

h = 17

Step-by-step explanation:

68 / 4 = 17

Product  = multiplication but since we didn't have h we divided

Brainiest would be noice!

High Hopes^^

Barry-

Answer:

I think you are trying to find h if so h=17

all you have to do is divide 68 and 4

100 POINTS!!!!!!!!!!! ( I NEED FAST ANSWERS ) Find the slope of the line that contains the points:(-6, 3) and (-4,5).

Answers

Answer:

slope = -4/5

Step-by-step explanation:

I’ve been able to figure out the rest of the questions but this one has me stumped. I need to solve for x. Can someone please write the steps down so I can learn what to do?

Answers

explanation:
x+91 and x+111 are supplementary angles (they add up to 180), so you would set an equation by adding both of them to equal 180:
x + 91 + x + 111 = 180
add like terms
2x + 202 = 180
subtract 202 from both sides
2x = -22
divide both sides by 2 to get the answer:
x = -11

Answer:

X= -11

Step-by-step explanation:

Combine the two equations to equal a supplementary line

(X+91)=(x+111)=180

Solve for x by reversing the equation

(x)+(x)=(180-91)+(-111)

x=-22/2

x=-11

then check it

PLAY AMOUNG US WITH ME PLZ FAZWQ

Answers

Answer:

OKAY!! :D

Step-by-step explanation:

Answer:

sorry cant

Step-by-step explanation:

A gardener has ten plants (four tomato, two pepper, and four cucumber) to put in her garden. If she chooses the plants at random, what is the probability that the first one is a tomato plant, and the second one is a cucumber plant?

Answers

Answer:

8/45

Step-by-step explanation:

Given that:

Total Number of plants = 10

Number of tomato = 4

Number of pepper = 2

Number of cucumber = 4

If two plants are chosen at random:

Assume it is picked without replacement :

P(first is tomato plant) :

Recall : probability (p) = required outcome / Total possible outcomes

P(first is tomato plant) = 4 / 10 = 2/5

P(second is a cucumber plant) :

Number of plants = (10 - 1) =9 after first pick

P(second is a cucumber plant) = 4 / 9

Hence,

P(first tomato and second cucumber) = 2/5 * 4/9 (independent events)

2/5 * 4/9 = 8/45

Answer:

Also, the answer is 17.78%

please help, I don't understand..

Thanks!​

Answers

Answer:

$109.45

Step-by-step explanation:

On Monday in the morning you worked 4 hours, so plug in the equation.

12.50(4)= $50

On Monday in the afternoon you worked 4 hours and 45 min

12.50(4) = $50

Then do 12.50/60 to get .208 ≈ .21

So 45(.21) = $9.45

50 +50 + 9.45= 109.45

5 points
1.Mary has been saving her weekly allowance for the past 20 weeks. She
started with $100 and now has $300. Which equation can be used to find
the amount of money Mary receives for her weekly allowance? (7.10 A)
O A. 100 = 300 + 20%
B. 300 - 100x = 20
C.300 = 100 + 20x
D. 300 = 100 – 20x

Answers

ima go with B my dude good luck

helppp

britney has already run 10 miles on her own, and she expects to run 3 miles during each track practice. how many track practices would it take for britney to run 40 miles

Answers

Answer:

It would take her 10 track practices to get up to 40 miles.

Step-by-step explanation:

What is the slope of the line that contains the points (-3, 2) and (-3, 5)?

Answers

Answer:

The slope is Undefined

Step-by-step explanation:

Use the slope formula to find the slope  m .

Answer:

Slope = Undifine

Jasmine drives every morning to her office that is 12 miles from her home.


If Jasmine's average driving speed is s mph, how many hours does it take her to drive from her home to the office?

Answers

Answer:

is it s/12

Step-by-step explanation:

(-2) + 3 = ?
Your answer

Answers

Answer:

(-2)+3=1

negative two plus three =one

Simplify:
(11x0q6)(7x0)
I need step by step too

Answers

Answer:

(11⋅7q^6)

Step-by-step explanation:

STEP 1:

11q^6 • 7

STEP 2:

Final result :

 (11•7q6)

Thomas wants to put a fence around a rectangular garden that is 12 feet long and 7 feet wide.
How much fencing he will need?

Answers

Answer:

84 feet

Step-by-step explanation:

 he will need 84 ft to cover the entire garden

Answer:

38 ft of fencing

Step-by-step explanation:

The perimeter of a rectangle is 2L + 2W, where L and W are the length and width, respectively. The dimensions of the garden are given, 7 x 12 ft.

The amount of fencing needed is 2(7) + 2(12) = 14 + 24 = 38 ft of fencing

I wish I...................to him yesterday?

Answers

wut—??????????????.....l......

had told

we use past perfect tense for wishes

for more dowload grammerly and check

write a equivalent expression for 12a+60

Answers

Answer: 12(a+5)

Step-by-step explanation: factor out 12 from the expression

ANSWER 12(a+5)

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