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Popular >

simplify \sqrt[16]{(x+5)^{12}}

Solution

simplify

Solution

(x + 5)^{\frac{3}{4}}

Solution steps

Apply radical rule:

= ((x + 5)^{12})^{\frac{1}{16}}

Apply exponent rule:

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

assuming

a \geq 0

= (x + 5)^{12 \cdot \frac{1}{16}}

12 \cdot \frac{1}{16} = \frac{3}{4}

= (x + 5)^{\frac{3}{4}}

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Frequently Asked Questions (FAQ)

What is \sqrt[16]{(x+5)^{12}} ?
The solution to \sqrt[16]{(x+5)^{12}} is (x+5)^{3/4}