Question

Using the Power Rule of Exponents, what is an equivalent form of (6^6)^3 ? (1 point)
Responses

6^9


6^18


6^2


6^3

Answer 1

(6^6)^3 = 6^(6*3) = 6^18

Therefore, the equivalent form is 6^18.

Answer 2

Using the Power Rule of Exponents, what is an equivalent form of ((1/2)^10)^2 ?

Answer 3

((1/2)^10)^2 is equal to (1/2)^(10*2) by applying the Power Rule of Exponents.

So, (1/2)^10 = 1/2^10 and (1/2)^(10*2) = 1/2^20.

Therefore, an equivalent form of ((1/2)^10)^2 is 1/2^20.

Answer 4

Using the Power Rule of Exponents, what is an equivalent form of ((1/2)^10)^2 ?

(1/2)^(10+2)

(1/2)^(10÷2)

(1/2)^(10-2)

(1/2)^(10.2)

Answer 5

((1/2)^10)^2 is equal to (1/2)^(10*2) using the Power Rule of Exponents.

So, (1/2)^(10*2) = (1/2)^(20).

Therefore, an equivalent form of ((1/2)^10)^2 is (1/2)^20.

Answer 6

Apply the Power Rule of Exponents to form an equivalent expression of (2^6)^2 .(1 point)
Responses

2^8


2^12


2^4


2^3

Answer 7

Using the Power Rule of Exponents, we can simplify the expression (2^6)^2 by multiplying the exponents:

(2^6)^2 = 2^(6*2) = 2^12

Therefore, an equivalent expression is 2^12.