The correct option is C 0.008 (0.04)^ 3 2 #160; #160; =(4100)^32 =((210)^2)^32 =((0.2)^2)^32 = 0.2^(2 × 3 2 ) #160; ...

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Fractional Exponent

Evaluate: 0...

Question

Evaluate: $(0.04)^{^{\frac{3}{2}}}$

0.08

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0.001

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0.008

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0.01

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Solution

The correct option is C $0.008$
$(0.04)^{\frac{3}{2}}$
$= {(\frac{4}{100})}^{\frac{3}{2}}$
$= {((\frac{2}{10})^{2})}^{\frac{3}{2}}$
$= {((0.2)^{2})}^{\frac{3}{2}}$

$= {0.2}^{⎛ ⎝ 2 \times \frac{3}{2} ⎞ ⎠}$

$= {0.2}^{3}$

$= 0.008$

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