Question

Use the Power Rule of Exponents to simplify the expression (6^2)4.(1 point)
Answered by GPT 3.5
Using the power rule of exponents, we can simplify the expression as follows:

(6^2)^4

= 6^(2*4)

= 6^8

So, the simplified expression is 6^8.
Answer
Use the Power Rule of Exponents to simplify the expression (73^4)^5.
Answered by GPT 3.5
Using the power rule of exponents, we can simplify the expression as follows:

(73^4)^5

= 73^(4*5)

= 73^20

So, the simplified expression is 73^20.
Answer
Use the Power Rule of Exponents to simplify the expression (78^8)^6.(1 point
Answered by GPT 3.5
Using the power rule of exponents, we can simplify the expression as follows:

(78^8)^6

= 78^(8*6)

= 78^48

So, the simplified expression is 78^48.
Answer
Use the Power Rule of Exponents to create a simplified equivalent expression of (12⋅12⋅12)⋅(12⋅12⋅12).(1 point)
Answered by GPT 3.5
Using the power rule of exponents, we can simplify the expression as follows:

(12⋅12⋅12)⋅(12⋅12⋅12)

= 12^3⋅12^3

= (12^3)2

So, a simplified equivalent expression is 12^6.
Answer
What exponent would make the two expressions equivalent: (16x)^6=(16^18)?(1 point)
Answered by GPT 3.5
In order to make the two expressions equivalent, the exponent for 16 in (16x)^6 must be equal to 18 in (16^18).

Therefore, the exponent would be 18.