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Popular >

simplify \sqrt[32]{9^{16}}

Solution

simplify

Solution

3

Solution steps

Apply radical rule:

= (9^{16})^{\frac{1}{32}}

Apply exponent rule:

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

= 9^{16 \cdot \frac{1}{32}}

16 \cdot \frac{1}{32} = \frac{1}{2}

= 9^{\frac{1}{2}}

a^{\frac{1}{2}} = a

= 9

Factor the number:

9 = 3^{2}

= 3^{2}

Apply radical rule:

3^{2} = 3

= 3

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Frequently Asked Questions (FAQ)

What is \sqrt[32]{9^{16}} ?
The solution to \sqrt[32]{9^{16}} is 3