## anonymous one year ago MEDAL What value of m solves the equation?

1. anonymous

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2. Hayleymeyer

ok so we are given $2^m = \frac{ 1 }{ 8 }$ we know that 8=2^3 so $\frac{ 1 }{ 8 } = 2^{-3}$ so we can write $2^m =\frac{ 1 }{ 8}$$2^m=2^{-3}$so this gives m=-3

3. anonymous

thanks!

4. Hayleymeyer

welcome