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Popular >

simplify (sqrt(5))^{10}

Solution

simplify

(5)^{10}

Solution

3125

Solution steps

(5)^{10}

Rewrite

10

as

2 \cdot 5

= (5)^{2 \cdot 5}

Apply exponent rule:

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

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

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

Apply exponent rule:

(5)^{2} = 5

= 5^{5}

5^{5} = 3125

= 3125

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Frequently Asked Questions (FAQ)

What is (sqrt(5))^{10} ?
The solution to (sqrt(5))^{10} is 3125