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Popular >

simplify (256/625)^{1/4}

Solution

simplify

(\frac{256}{625})^{\frac{1}{4}}

Solution

\frac{4}{5}

+1

Solution steps

(\frac{256}{625})^{\frac{1}{4}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{25 6 ^{\frac{1}{4}}}{62 5 ^{\frac{1}{4}}}

25 6^{\frac{1}{4}} = 4

= \frac{4}{62 5 ^{\frac{1}{4}}}

62 5^{\frac{1}{4}} = 5

= \frac{4}{5}

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Frequently Asked Questions (FAQ)

What is (256/625)^{1/4} ?
The solution to (256/625)^{1/4} is 4/5