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Popular >

simplify \sqrt[27]{3^3}

Solution

simplify

Solution

+1

Decimal Notation

1.12983 \dots

Solution steps

Apply radical rule:

= (3^{3})^{\frac{1}{27}}

Apply exponent rule:

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

= 3^{3 \cdot \frac{1}{27}}

3 \cdot \frac{1}{27} = \frac{1}{9}

= 3^{\frac{1}{9}}

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Frequently Asked Questions (FAQ)

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