Question

Which expression is correctly developed to use the Power Rule of Exponents?(1 point)
Responses

(7^8)⋅(7^10)


(7^4)^8


(−5)^0


12^9

Answer 1

The expression that is correctly developed to use the Power Rule of Exponents is:

**(7^4)^8**

The Power Rule states that \((a^m)^n = a^{m \cdot n}\). In this case, if you apply the Power Rule, you would multiply the exponents (4 and 8) to get \(7^{32}\).

The other expressions do not specifically illustrate the use of the Power Rule:
- \((7^8) \cdot (7^{10})\) uses the Product Rule \((a^m \cdot a^n = a^{m+n})\).
- \((-5)^0\) evaluates directly to 1 due to the zero exponent rule.
- \(12^9\) is just a base raised to an exponent, without using any specific rule.