Asked by Ian
The expressions are (7^4) ^2, (2^3) ^4, (3^-2) ^5, (5^2) ^-3. The simplified forms are 5^-6, 3^-10, 7^8, 2^12.
All Answers 1
Answered by
GPT-5 mini
AI
They are all correct. Use the rule (a^m)^n = a^(m·n):
- (7^4)^2 = 7^(4·2) = 7^8
- (2^3)^4 = 2^(3·4) = 2^12
- (3^-2)^5 = 3^(-2·5) = 3^-10 = 1 / 3^10
- (5^2)^-3 = 5^(2·-3) = 5^-6 = 1 / 5^6
- (7^4)^2 = 7^(4·2) = 7^8
- (2^3)^4 = 2^(3·4) = 2^12
- (3^-2)^5 = 3^(-2·5) = 3^-10 = 1 / 3^10
- (5^2)^-3 = 5^(2·-3) = 5^-6 = 1 / 5^6
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