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Popular Algebra >

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

Solution

simplify

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

Solution

9 x^{4}

Solution steps

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

Apply exponent rule:

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

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

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

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

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

= 9 x^{4}

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Frequently Asked Questions (FAQ)

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

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