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Popular >

simplify (sqrt(25))^4

Solution

simplify

(25)^{4}

Solution

625

Solution steps

(25)^{4}

Rewrite

4

as

2 \cdot 2

= (25)^{2 \cdot 2}

Apply exponent rule:

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

(25)^{2 \cdot 2} = ((25)^{2})^{2}

= ((25)^{2})^{2}

Apply exponent rule:

(25)^{2} = 25

= 2 5^{2}

2 5^{2} = 625

= 625

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Frequently Asked Questions (FAQ)

What is (sqrt(25))^4 ?
The solution to (sqrt(25))^4 is 625