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Popular >

simplify (64x^3)^{1/3}

Solution

simplify

(64 x^{3})^{\frac{1}{3}}

Solution

4 x

Solution steps

(64 x^{3})^{\frac{1}{3}}

Apply exponent rule:

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

(64 x^{3})^{\frac{1}{3}} = 6 4^{\frac{1}{3}} (x^{3})^{\frac{1}{3}}

= 6 4^{\frac{1}{3}} (x^{3})^{\frac{1}{3}}

6 4^{\frac{1}{3}} = 4

= 4 (x^{3})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

(x^{3})^{\frac{1}{3}} = x^{3 \cdot \frac{1}{3}}

= 4 x^{3 \cdot \frac{1}{3}}

3 \cdot \frac{1}{3} = 1

= 4 x^{1}

Apply exponent rule:

a^{1} = a

x^{1} = x

= 4 x

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Frequently Asked Questions (FAQ)

What is (64x^3)^{1/3} ?
The solution to (64x^3)^{1/3} is 4x