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if 16^n = 1/64, find the value of x

Guest Jun 8, 2017

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Best Answer

If 16^n = 1/64 , find the value of n .

\(16^n=\frac1{64} \\~\\ (2^4)^n=\frac1{(2^6)} \\~\\ (2^4)^n=2^{-6} \\~\\ 2^{4\cdot n} = 2^{-6} \\~\\ 4\cdot n=-6 \\~\\ n=\frac{-6}4 \\~\\ n=-1.5\)

hectictar Jun 8, 2017

hectictar · Answer 1 · 2017-06-08T09:59:57

If 16^n = 1/64 , find the value of n .

\(16^n=\frac1{64} \\~\\ (2^4)^n=\frac1{(2^6)} \\~\\ (2^4)^n=2^{-6} \\~\\ 2^{4\cdot n} = 2^{-6} \\~\\ 4\cdot n=-6 \\~\\ n=\frac{-6}4 \\~\\ n=-1.5\)