What is 10*2^{-0.274*12} ?

The solution to 10*2^{-0.274*12} is (10)/(2^{3.288)}

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simplify 102^{-0.27412}

simplify

10 \cdot 2^{- 0.274 \cdot 12}

\frac{10}{2 ^{3.288}}

Solution steps

10 \cdot 2^{- 0.274 \cdot 12}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

2^{- 0.274 \cdot 12} = \frac{1}{2 ^{0.274 \cdot 12}}

= 10 \cdot \frac{1}{2 ^{0.274 \cdot 12}}

Multiply the numbers:

0.274 \cdot 12 = 3.288

= 10 \cdot \frac{1}{2 ^{3.288}}

10 \cdot \frac{1}{2 ^{3.288}} = \frac{10}{2 ^{3.288}}

= \frac{10}{2 ^{3.288}}

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