What is sqrt(5)*\sqrt[3]{5^2}*\sqrt[5]{5^4} ?

The solution to sqrt(5)*\sqrt[3]{5^2}*\sqrt[5]{5^4} is 5*5^{7/15}sqrt(5)

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simplify sqrt(5)\sqrt[3]{5^2}\sqrt[5]{5^4}

simplify

5 \cdot 5^{\frac{7}{15}} 5

Decimal Notation

23.69414 \dots

Solution steps

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

Apply exponent rule:

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

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

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

5^{\frac{2}{3} + \frac{4}{5}} = 5 \cdot 5^{\frac{7}{15}}

= 5 \cdot 5^{\frac{7}{15}} 5

((4^{2})^{3})^{4}

e^{- l n (w)}

(3.25 \cdot 1 0^{- 4}) (8.3)

(x + 2)^{- 1}

What is sqrt(5)*\sqrt[3]{5^2}*\sqrt[5]{5^4} ?
The solution to sqrt(5)*\sqrt[3]{5^2}*\sqrt[5]{5^4} is 5*5^{7/15}sqrt(5)