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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

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Frequently Asked Questions (FAQ)

What is (4-x^{2/3})^{3/2} ?
The solution to (4-x^{2/3})^{3/2} is (-x^{2/3}+4)(-x^{2/3}+4)^{1/2}