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Popular >

simplify \sqrt[5]{9^4}

Solution

simplify

Solution

+1

Decimal Notation

5.79954 \dots

Solution steps

9^{4} = 6561

Prime factorization of

6561 : 3^{8}

Apply exponent rule:

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

3^{8} = 3^{5} \cdot 3^{3}

Apply radical rule:

Apply radical rule:

3^{3} = 27

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Frequently Asked Questions (FAQ)

What is \sqrt[5]{9^4} ?
The solution to \sqrt[5]{9^4} is 3\sqrt[5]{27}