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Popular >

simplify \sqrt[9]{8^7}

Solution

simplify

Solution

+1

Decimal Notation

5.03968 \dots

Solution steps

Apply radical rule:

= (8^{7})^{\frac{1}{9}}

Apply exponent rule:

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

= 8^{7 \cdot \frac{1}{9}}

7 \cdot \frac{1}{9} = \frac{7}{9}

= 8^{\frac{7}{9}}

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

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

2^{2} = 4

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Frequently Asked Questions (FAQ)

What is \sqrt[9]{8^7} ?
The solution to \sqrt[9]{8^7} is 4\sqrt[3]{2}