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Popular >

simplify (\sqrt[5]{243/32})^3

Solution

simplify

Solution

\frac{27}{8}

+1

Decimal Notation

3.375

Solution steps

= (\frac{3}{2})^{3}

Apply exponent rule:

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

= \frac{3 ^{3}}{2 ^{3}}

3^{3} = 27

= \frac{27}{2 ^{3}}

2^{3} = 8

= \frac{27}{8}

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Frequently Asked Questions (FAQ)

What is (\sqrt[5]{243/32})^3 ?
The solution to (\sqrt[5]{243/32})^3 is 27/8