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Popular >

simplify \sqrt[3]{(7-3x)^2}

Solution

simplify

Solution

(- 3 x + 7)^{\frac{2}{3}}

Solution steps

Apply radical rule:

= ((7 - 3 x)^{2})^{\frac{1}{3}}

Apply exponent rule:

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

assuming

a \geq 0

= (7 - 3 x)^{2 \cdot \frac{1}{3}}

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

= (7 - 3 x)^{\frac{2}{3}}

= (- 3 x + 7)^{\frac{2}{3}}

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Frequently Asked Questions (FAQ)

What is \sqrt[3]{(7-3x)^2} ?
The solution to \sqrt[3]{(7-3x)^2} is (-3x+7)^{2/3}