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

The solution to sqrt(3)*\sqrt[3]{3^2}*\sqrt[4]{3^3} is 3*3^{5/12}sqrt(3)

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simplify sqrt(3)\sqrt[3]{3^2}\sqrt[4]{3^3}

simplify

3 \cdot 3^{\frac{5}{12}} 3

Decimal Notation

8.21263 \dots

Solution steps

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

Apply exponent rule:

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

3^{\frac{2}{3}} \cdot 3^{\frac{3}{4}} = 3^{\frac{2}{3} + \frac{3}{4}}

= 3 \cdot 3^{\frac{2}{3} + \frac{3}{4}}

3^{\frac{2}{3} + \frac{3}{4}} = 3 \cdot 3^{\frac{5}{12}}

= 3 \cdot 3^{\frac{5}{12}} 3

1 0^{- 2} \cdot 63.4

e^{- \frac{1}{2} l n (16)}

(5 a^{\frac{2}{3}}) (4 a^{\frac{3}{2}})

15 X^{2} Y Z^{2} (5 X^{2} Y + 6 X Y^{2} - 3 Y Z^{5})

What is sqrt(3)*\sqrt[3]{3^2}*\sqrt[4]{3^3} ?
The solution to sqrt(3)*\sqrt[3]{3^2}*\sqrt[4]{3^3} is 3*3^{5/12}sqrt(3)