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Popular >

simplify (27a^6)^{2/3}

Solution

simplify

(27 a^{6})^{\frac{2}{3}}

Solution

9 a^{4}

Solution steps

(27 a^{6})^{\frac{2}{3}}

Apply exponent rule:

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

(27 a^{6})^{\frac{2}{3}} = 2 7^{\frac{2}{3}} (a^{6})^{\frac{2}{3}}

= 2 7^{\frac{2}{3}} (a^{6})^{\frac{2}{3}}

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

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

Apply exponent rule:

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

assuming

a \geq 0

(a^{6})^{\frac{2}{3}} = a^{6 \cdot \frac{2}{3}}

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

6 \cdot \frac{2}{3} = 4

= 9 a^{4}

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Frequently Asked Questions (FAQ)

What is (27a^6)^{2/3} ?
The solution to (27a^6)^{2/3} is 9a^4