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Popular >

simplify (1/27)^{2/3}

Solution

simplify

(\frac{1}{27})^{\frac{2}{3}}

Solution

\frac{1}{9}

+1

Solution steps

(\frac{1}{27})^{\frac{2}{3}}

Apply exponent rule:

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

= \frac{1 ^{\frac{2}{3}}}{2 7 ^{\frac{2}{3}}}

2 7^{\frac{2}{3}} = 9

= \frac{1 ^{\frac{2}{3}}}{9}

Apply rule

1^{a} = 1

1^{\frac{2}{3}} = 1

= \frac{1}{9}

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Frequently Asked Questions (FAQ)

What is (1/27)^{2/3} ?
The solution to (1/27)^{2/3} is 1/9