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Popular >

simplify (sqrt(5))^6

Solution

simplify

(5)^{6}

Solution

125

Solution steps

(5)^{6}

Rewrite

6

as

2 \cdot 3

= (5)^{2 \cdot 3}

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

(5)^{2 \cdot 3} = ((5)^{2})^{3}

= ((5)^{2})^{3}

Apply exponent rule:

(5)^{2} = 5

= 5^{3}

5^{3} = 125

= 125

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Frequently Asked Questions (FAQ)

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