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Express 0.008 as a power with a whole-number base.

Class 8Exponents and PowersExponents and Powers

A $2^{- 3}$
B $8^{- 3}$
C $5^{3}$
D $5^{- 3}$

Step-by-Step Solution

0.008 = \frac{8}{1000} = \frac{1}{125}

, and

125 = 5^{3}

, so

0.008 = 5^{- 3}

. Taking the visible digit 8 as the base gives the trap

2^{- 3} = \frac{1}{8} = 0.125

, a completely different number.

Answer: D)

5^{- 3}

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