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Popular >

simplify (32x^2)^{6/5}

Solution

simplify

(32 x^{2})^{\frac{6}{5}}

Solution

64 x^{\frac{12}{5}}

Solution steps

(32 x^{2})^{\frac{6}{5}}

Apply exponent rule:

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

(32 x^{2})^{\frac{6}{5}} = 3 2^{\frac{6}{5}} (x^{2})^{\frac{6}{5}}

= 3 2^{\frac{6}{5}} (x^{2})^{\frac{6}{5}}

3 2^{\frac{6}{5}} = 64

= 64 (x^{2})^{\frac{6}{5}}

Apply exponent rule:

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

assuming

a \geq 0

(x^{2})^{\frac{6}{5}} = x^{2 \cdot \frac{6}{5}}

= 64 x^{2 \cdot \frac{6}{5}}

2 \cdot \frac{6}{5} = \frac{12}{5}

= 64 x^{\frac{12}{5}}

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Frequently Asked Questions (FAQ)

What is (32x^2)^{6/5} ?
The solution to (32x^2)^{6/5} is 64x^{12/5}