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Popular >

simplify (32x^{10})^{3/5}

Solution

simplify

(32 x^{10})^{\frac{3}{5}}

Solution

8 x^{6}

Solution steps

(32 x^{10})^{\frac{3}{5}}

Apply exponent rule:

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

(32 x^{10})^{\frac{3}{5}} = 3 2^{\frac{3}{5}} (x^{10})^{\frac{3}{5}}

= 3 2^{\frac{3}{5}} (x^{10})^{\frac{3}{5}}

3 2^{\frac{3}{5}} = 8

= 8 (x^{10})^{\frac{3}{5}}

Apply exponent rule:

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

assuming

a \geq 0

(x^{10})^{\frac{3}{5}} = x^{10 \cdot \frac{3}{5}}

= 8 x^{10 \cdot \frac{3}{5}}

10 \cdot \frac{3}{5} = 6

= 8 x^{6}

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Frequently Asked Questions (FAQ)

What is (32x^{10})^{3/5} ?
The solution to (32x^{10})^{3/5} is 8x^6