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Popular >

simplify \sqrt[4]{(x-4)^3}

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

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

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{(x-4)^3} ?
The solution to \sqrt[4]{(x-4)^3} is (x-4)^{3/4}