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Popular >

simplify \sqrt[6]{27^3}

Solution

simplify

Solution

33

+1

Solution steps

2 7^{3} = 19683

Prime factorization of

19683 : 3^{9}

Apply exponent rule:

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

3^{9} = 3^{6} \cdot 3^{3}

Apply radical rule:

Apply radical rule:

= 33

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Frequently Asked Questions (FAQ)

What is \sqrt[6]{27^3} ?
The solution to \sqrt[6]{27^3} is 3sqrt(3)