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Popular >

simplify (64n^9)^{2/3}

Solution

simplify

(64 n^{9})^{\frac{2}{3}}

Solution

16 n^{6}

Solution steps

(64 n^{9})^{\frac{2}{3}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(64 n^{9})^{\frac{2}{3}} = 6 4^{\frac{2}{3}} (n^{9})^{\frac{2}{3}}

= 6 4^{\frac{2}{3}} (n^{9})^{\frac{2}{3}}

6 4^{\frac{2}{3}} = 16

= 16 (n^{9})^{\frac{2}{3}}

Apply exponent rule:

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

assuming

a \geq 0

(n^{9})^{\frac{2}{3}} = n^{9 \cdot \frac{2}{3}}

= 16 n^{9 \cdot \frac{2}{3}}

9 \cdot \frac{2}{3} = 6

= 16 n^{6}

Popular Examples

12 + 2 x - x = 9 x + 6

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(27 x^{6} y^{9})^{\frac{2}{3}}

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Frequently Asked Questions (FAQ)

What is (64n^9)^{2/3} ?
The solution to (64n^9)^{2/3} is 16n^6