What is 5^{sqrt(5)}*3^{sqrt(5)} ?

The solution to 5^{sqrt(5)}*3^{sqrt(5)} is 15^{sqrt(5)}

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simplify 5^{sqrt(5)}*3^{sqrt(5)}

simplify

5^{5} \cdot 3^{5}

1 5^{5}

Decimal Notation

426.40275 \dots

Solution steps

5^{5} \cdot 3^{5}

Apply exponent rule:

a^{m} b^{m} = (ab)^{m}

5^{5} \cdot 3^{5} = (5 \cdot 3)^{5}

= (5 \cdot 3)^{5}

Multiply the numbers:

5 \cdot 3 = 15

= 1 5^{5}

e (\frac{7}{2})^{- 2}

(e^{\frac{x}{2}} \cdot cos (2 x)) \cdot (e^{\frac{x}{2}} \cdot cos (x))

e^{- (- 7)^{2}}

e^{x} \cdot \frac{1}{3} e^{- x} x ln (x)

\frac{( 3 \cdot 1 0 ^{8} )}{1.177 \cdot 1 0 ^{- 7}} \cdot 6.63 \cdot 1 0^{- 34}

What is 5^{sqrt(5)}*3^{sqrt(5)} ?
The solution to 5^{sqrt(5)}*3^{sqrt(5)} is 15^{sqrt(5)}