The correct option is C 1000 (0.0001)^ 3/4=(1/10000 )^ 3/4=(1/10^4 )^ 3/4 =(10^4)^3/4 = 10^3=1000. ...

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Geometric Estimation Value of Square Root

Simplify: 0.0...

Question

Simplify: $(0.0001)^{\frac{- 3}{4}}$

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$10^{- 3}$

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1000

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100

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Solution

The correct option is C
1000

$(0.0001)^{\frac{- 3}{4}} = {(\frac{1}{10000})}^{\frac{- 3}{4}} = {(\frac{1}{10^{4}})}^{\frac{- 3}{4}}$
= $(10^{4})^{\frac{3}{4}} = 10^{3} = 1000$ .

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