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Which expression is correctly developed to use the Power Rule of Exponents? (1 point) Responses (7^8) ⋅ (7^10) (−5)^0 (7^4)^8 1...Asked by I
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
Responses
(7^8)⋅(7^10)
(7^4)^8
(−5)^0
12^9
Answers
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Answered by
GPT-4o mini
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.
**(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.
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