math

Determine if each pair of expressions is equivalent. Explain your reasoning.
a: 1/3^2 and 3^-2
b: 1/4^-3 and 4^-3

My answer: a: 1/3^2 = 1/9 and 3^-2 = 0.111111111; these pair of expressions are not equivalent.
b: 1/4^-3 = 64 and 4^-3 = 0.015625; these pair of expressions are not equivalent.

Need help!

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  1. Rule for negative exponents:
    x^-a = 1/x^a
    so: 3^-2 = 1/3^2 , YES
    4^-3 = 1/4^3, in the question the result said: 1/4^-3 = 4^-3 , so NO

    the last one should have been obvious even without knowing the rule.

    btw, 1/9 = .111111.....

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    Reiny

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