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Popular >

simplify (80^{1/4})/(5^{-1/4)}

Solution

simplify

\frac{8 0 ^{\frac{1}{4}}}{5 ^{- \frac{1}{4}}}

Solution

2 \cdot 5^{\frac{1}{2}}

+1

Solution steps

\frac{8 0 ^{\frac{1}{4}}}{5 ^{- \frac{1}{4}}}

Factor

8 0^{\frac{1}{4}} : 5^{\frac{1}{4}} \cdot 1 6^{\frac{1}{4}}

= \frac{5 ^{\frac{1}{4}} \cdot 1 6 ^{\frac{1}{4}}}{5 ^{- \frac{1}{4}}}

Simplify

\frac{5 ^{\frac{1}{4}}}{5 ^{- \frac{1}{4}}} : 5^{\frac{1}{2}}

= 5^{\frac{1}{2}} \cdot 1 6^{\frac{1}{4}}

1 6^{\frac{1}{4}} = 2

= 2 \cdot 5^{\frac{1}{2}}

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Frequently Asked Questions (FAQ)

What is (80^{1/4})/(5^{-1/4)} ?
The solution to (80^{1/4})/(5^{-1/4)} is 2*5^{1/2}