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Popular >

simplify (375/343)^{1/3}

Solution

simplify

(\frac{375}{343})^{\frac{1}{3}}

Solution

\frac{3 ^{\frac{1}{3}} \cdot 5}{7}

+1

Decimal Notation

1.03017 \dots

Solution steps

(\frac{375}{343})^{\frac{1}{3}}

Apply exponent rule:

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

= \frac{37 5 ^{\frac{1}{3}}}{34 3 ^{\frac{1}{3}}}

37 5^{\frac{1}{3}} = 3^{\frac{1}{3}} \cdot 5

= \frac{3 ^{\frac{1}{3}} \cdot 5}{34 3 ^{\frac{1}{3}}}

34 3^{\frac{1}{3}} = 7

= \frac{3 ^{\frac{1}{3}} \cdot 5}{7}

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Frequently Asked Questions (FAQ)

What is (375/343)^{1/3} ?
The solution to (375/343)^{1/3} is (3^{1/3}*5)/7