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Popular >

simplify \sqrt[4]{(x-3)^{14}}

Solution

simplify

Solution

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

Solution steps

Apply radical rule:

= ((x - 3)^{14})^{\frac{1}{4}}

Apply exponent rule:

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

assuming

a \geq 0

= (x - 3)^{14 \cdot \frac{1}{4}}

14 \cdot \frac{1}{4} = \frac{7}{2}

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

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{(x-3)^{14}} ?
The solution to \sqrt[4]{(x-3)^{14}} is (x-3)^{7/2}