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

Guest Jun 8, 2017

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 #1
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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
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1+0 Answers

 #1
avatar+4155 
+1
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

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