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Popular >

simplify 4sqrt(0.2)^{-1/4}

Solution

simplify

4 0.2^{- \frac{1}{4}}

Solution

4 \cdot 5^{\frac{1}{8}}

+1

Decimal Notation

4.89137 \dots

Solution steps

4 (0.2)^{- \frac{1}{4}}

Apply exponent rule:

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

(0.2)^{- \frac{1}{4}} = \frac{1}{( 0.2 ) ^{\frac{1}{4}}}

= 4 \cdot \frac{1}{( 0.2 ) ^{\frac{1}{4}}}

(0.2)^{\frac{1}{4}} = \frac{1}{5 ^{\frac{1}{8}}}

= 4 \cdot \frac{1}{\frac{1}{5 ^{\frac{1}{8}}}}

\frac{1}{\frac{1}{5 ^{\frac{1}{8}}}} = 5^{\frac{1}{8}}

= 4 \cdot 5^{\frac{1}{8}}

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Frequently Asked Questions (FAQ)

What is 4sqrt(0.2)^{-1/4} ?
The solution to 4sqrt(0.2)^{-1/4} is 4*5^{1/8}