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Popular >

simplify \sqrt[3]{(2/7)}^9

Solution

simplify

Solution

\frac{8}{343}

+1

Solution steps

Apply rule:

(a) = a

(\frac{2}{7}) = \frac{2}{7}

Rewrite

9

as

3 \cdot 3

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

Apply exponent rule:

= (\frac{2}{7})^{3}

Apply exponent rule:

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

= \frac{2 ^{3}}{7 ^{3}}

2^{3} = 8

= \frac{8}{7 ^{3}}

7^{3} = 343

= \frac{8}{343}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{(2/7)}^9 ?
The solution to \sqrt[3]{(2/7)}^9 is 8/343