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Popular >

simplify \sqrt[4]{9^3}

Solution

simplify

Solution

33

+1

Decimal Notation

5.19615 \dots

Solution steps

9^{3} = 729

Prime factorization of

729 : 3^{6}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

3^{6} = 3^{4} \cdot 3^{2}

Apply radical rule:

Apply radical rule:

= 33

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Frequently Asked Questions (FAQ)

What is \sqrt[4]{9^3} ?
The solution to \sqrt[4]{9^3} is 3sqrt(3)