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Popular >

simplify (sqrt(5))^{6sqrt(5)}

Solution

simplify

(5)^{65}

Solution

12 5^{5}

+1

Decimal Notation

48846.48663 \dots

Solution steps

(5)^{65}

Apply radical rule:

a = a^{\frac{1}{2}}

= (5^{\frac{1}{2}})^{65}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 5^{\frac{1}{2} \cdot 65}

\frac{1}{2} \cdot 65 = 35

= 5^{35}

Apply exponent rule:

a^{b x} = (a^{b})^{x}

5^{35} = (5^{3})^{5}

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

5^{3} = 125

= 12 5^{5}

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Frequently Asked Questions (FAQ)

What is (sqrt(5))^{6sqrt(5)} ?
The solution to (sqrt(5))^{6sqrt(5)} is 125^{sqrt(5)}