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Popular >

expand (-4x^3)^{2/3}

Solution

expand

(- 4 x^{3})^{\frac{2}{3}}

Solution

4^{\frac{2}{3}} x^{2}

Solution steps

(- 4 x^{3})^{\frac{2}{3}}

Apply exponent rule:

(- a)^{\frac{m}{n}} = (- 1)^{\frac{m}{n}} (a)^{\frac{m}{n}}

(- 4 x^{3})^{\frac{2}{3}} = (- 1)^{\frac{2}{3}} (4 x^{3})^{\frac{2}{3}}

= (- 1)^{\frac{2}{3}} (4 x^{3})^{\frac{2}{3}}

(- 1)^{\frac{2}{3}} = 1

= 1 \cdot (4 x^{3})^{\frac{2}{3}}

Apply exponent rule:

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

(4 x^{3})^{\frac{2}{3}} = 4^{\frac{2}{3}} (x^{3})^{\frac{2}{3}}

= 1 \cdot 4^{\frac{2}{3}} (x^{3})^{\frac{2}{3}}

(x^{3})^{\frac{2}{3}} : x^{2}

= 1 \cdot 4^{\frac{2}{3}} x^{2}

Multiply:

1 \cdot 4^{\frac{2}{3}} = 4^{\frac{2}{3}}

= 4^{\frac{2}{3}} x^{2}

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Frequently Asked Questions (FAQ)

What is expand (-4x^3)^{2/3} ?
The solution to expand (-4x^3)^{2/3} is 4^{2/3}x^2