What is \sqrt[9]{3^7}*\sqrt[4]{3^3} ?

The solution to \sqrt[9]{3^7}*\sqrt[4]{3^3} is 3*3^{19/36}

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simplify \sqrt[9]{3^7}*\sqrt[4]{3^3}

simplify

3 \cdot 3^{\frac{19}{36}}

Decimal Notation

5.35716 \dots

Solution steps

= 3^{\frac{7}{9}} \cdot 3^{\frac{3}{4}}

Apply exponent rule:

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

3^{\frac{7}{9}} \cdot 3^{\frac{3}{4}} = 3^{\frac{7}{9} + \frac{3}{4}}

= 3^{\frac{7}{9} + \frac{3}{4}}

Join

\frac{7}{9} + \frac{3}{4} : \frac{55}{36}

= 3^{\frac{55}{36}}

3^{\frac{55}{36}} = 3^{1 + \frac{19}{36}}

= 3^{1 + \frac{19}{36}}

Apply exponent rule:

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

= 3^{1} \cdot 3^{\frac{19}{36}}

Refine

= 3 \cdot 3^{\frac{19}{36}}

4.49 \cdot 1 0^{- 3}

(\frac{1}{3})^{- 3} (\frac{1}{3}) e l e v a d o^{6}

\frac{e ^{2 x}}{x} \cdot e^{- 2 x}

180.87 \cdot 1 0^{2} \cdot 10

26 \cdot 1 0^{- 3} \cdot ln (\frac{1 0 ^{18}}{1 \cdot 1 0 ^{10}})

What is \sqrt[9]{3^7}*\sqrt[4]{3^3} ?
The solution to \sqrt[9]{3^7}*\sqrt[4]{3^3} is 3*3^{19/36}