4^n = 1/64 What value of n solves the equation?  not only the answer ... how do I work it?

1 answer
Question:

4^n = 1/64 What value of n solves the equation?  not only the answer ... how do I work it?

Answers

[tex]4^n = \frac{1}{64}\\ \\4^n =(\frac{64}{1})^{-1}\\ \\4^n =64^{-1}\\ \\4^n =(4^3)^{-1}\\ \\4^n =4^{3*(-1)}\\ \\4^n =4^{-3}\\ \\n=-3[/tex]

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