M3: Rational Exponents

Question 1

What are exponents (A.K.A powers)?

Answer 1

They determine the number of times a base is multiplied by. Ex - (2^3 = 222)

Question 2

What are radicals (A.K.A roots)?

Answer 2

Radicals are the opposite of powers, they turn an already large number back to its possible base. Ex - (√9 = 3^2)

Question 3

What is a Rational Exponent?

Answer 3

A rational exponent is where the exponent of a number is a fraction. Such as 1/2 as an exponent.

Question 4

What is 8^1/3 simplified.

Answer 4

The answer is 2.

Question 5

How do you “add” exponents?

Answer 5

To add an exponent, just multiply them by each other.

Question 6

How do you “subtract” exponents?

Answer 6

You subtract them when the bases are divided with each other. Ex - (4^3 / 2^1 = 2^2)

Question 7

What is 2^3 * 4^-5 simplified?

Answer 7

64
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(2³)*(4⁻⁵)
(8)*(1/4³)
(8)*(1/64)
1/8

Question 8

What is 10^4 / 2^6 simplified?

Answer 8

(10⁴/2⁶)

Question 9

What is 16^1/2+27^1/3

Answer 9

7. To get this you have to get the square root of 16 which is 4 and add it to the cubed root of 27 which is 3.;

Question 10

What is 32^3/5 simplified?

Answer 10

8
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(⁵√32)³
(2)³
(8)

Question 11

what is 8^1/3

Answer 11

2. When you do 8 to the first power, you get 8, then you have to get the cubed root of eight since the denominator of the power is 3.