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Popular >

simplify \sqrt[9]{64^3}

Solution

simplify

Solution

4

Solution steps

Apply radical rule:

= (6 4^{3})^{\frac{1}{9}}

Apply exponent rule:

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

= 6 4^{3 \cdot \frac{1}{9}}

3 \cdot \frac{1}{9} = \frac{1}{3}

= 6 4^{\frac{1}{3}}

Factor the number:

64 = 4^{3}

Apply radical rule:

= 4

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Frequently Asked Questions (FAQ)

What is \sqrt[9]{64^3} ?
The solution to \sqrt[9]{64^3} is 4