What is \sqrt[6]{3^4}*\sqrt[3]{3^2} ?

The solution to \sqrt[6]{3^4}*\sqrt[3]{3^2} is 3\sqrt[3]{3}

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simplify \sqrt[6]{3^4}*\sqrt[3]{3^2}

simplify

Decimal Notation

4.32674 \dots

Solution steps

= 3^{\frac{2}{3}} \cdot 3^{\frac{2}{3}}

Apply exponent rule:

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

3^{\frac{2}{3}} \cdot 3^{\frac{2}{3}} = 3^{\frac{2}{3} + \frac{2}{3}}

= 3^{\frac{2}{3} + \frac{2}{3}}

Add similar elements:

\frac{2}{3} + \frac{2}{3} = 2 \cdot \frac{2}{3}

= 3^{2 \cdot \frac{2}{3}}

Multiply

2 \cdot \frac{2}{3} : \frac{4}{3}

= 3^{\frac{4}{3}}

3^{\frac{4}{3}} = 3^{1 + \frac{1}{3}}

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

Apply exponent rule:

x^{a + b} = x^{a} x^{b}

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

Refine

2500 \cdot 154.7 \cdot 1 0^{- 12}

\frac{2 ( 210 + 291 ) 61}{0.41}

e^{- 12} (12)^{0}

(x^{2} x e^{2 x}) e^{- 2 x}

, f (x) 2 x^{- 13}

What is \sqrt[6]{3^4}*\sqrt[3]{3^2} ?
The solution to \sqrt[6]{3^4}*\sqrt[3]{3^2} is 3\sqrt[3]{3}