What is (-0.8)^{-6}*0.16777216 ?

The solution to (-0.8)^{-6}*0.16777216 is 0.64

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simplify (-0.8)^{-6}*0.16777216

simplify

(- 0.8)^{- 6} \cdot 0.16777216

0.64

Solution steps

(- 0.8)^{- 6} \cdot 0.16777216

Apply exponent rule:

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

(- 0.8)^{- 6} = \frac{1}{( - 0.8 ) ^{6}}

= \frac{1}{( - 0.8 ) ^{6}} \cdot 0.16777216

(- 0.8)^{6} = 0.262144

= \frac{1}{0.262144} \cdot 0.16777216

Divide the numbers:

\frac{1}{0.262144} = 3.81469 \dots

= 3.81469 \dots \cdot 0.16777216

Multiply the numbers:

3.81469 \dots \cdot 0.16777216 = 0.64

= 0.64

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