Question

Use the Power Rule of Exponents to simplify the expression (6^2)^4 .

Answer 1

(73^4)^5

Answer 2

(78^8)^6

Answer 3

what exponent would make the 2 expressions equivalent: (16x)^6 = (16^18)

Answer 4

To simplify the expression, we can apply the Power Rule of Exponents, which states that when raising an exponent expression to another exponent, we multiply the exponents.

Therefore,

(6^2)^4 = 6^(2*4) = 6^8

Answer 5

To simplify the expression, we apply the Power Rule of Exponents, which states that when raising an exponent expression to another exponent, we multiply the exponents.

Therefore,
(73^4)^5 = 73^(4*5) = 73^20

Answer 6

To simplify the expression, we apply the Power Rule of Exponents, which states that when raising an exponent expression to another exponent, we multiply the exponents.

Therefore,
(78^8)^6 = 78^(8*6) = 78^48

Answer 7

To find the exponent that would make the two expressions equivalent, we need to set their exponents equal to each other and solve for x.

(16x)^6 = (16^18)

To do this, we can equate the exponents:

6 = 18

Since 6 is not equal to 18, there is no value of x that would make the two expressions equivalent.