Question

50 POINTS URGENT!

Choose the expression that is equivalent to the quantity 7 raised to the negative second power times 7 raised to the third power end quantity all raised to the negative third power.

Group of answer choices

−76

1 divided by 7 raised to the third power

negative 1 divided by 7 raised to the sixth power

718

Answer 1

1 divided by 7 raised to the third power

Explanation:

To find the equivalent expression, we can start by applying the rule for multiplying powers with the same base:

(7^(-2)) * (7^3) = 7^(-2+3) = 7^1 = 7

Then, we can apply the rule for raising a power to a power:

7^1 = (7^1)^(-3) = 7^(-3)

Finally, we can apply the rule for raising a number to a negative power:

7^(-3) = 1 / (7^3) = 1 / 343 = 1/7^3

Therefore, the equivalent expression is 1 divided by 7 raised to the third power.