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

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

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

simplify

Decimal Notation

40.51641 \dots

Solution steps

Apply exponent rule:

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

5^{2 + 1} = 5^{2} \cdot 5

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

5^{2} \cdot 5 = 5^{2} 5

Apply radical rule:

a^{2} = a, a \geq 0

5^{2} = 5

4.8 \cdot 1 0^{- 3}

5 e^{- 5}

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

\frac{256}{6561}

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