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Popular >

simplify (sqrt(25))^3

Solution

simplify

(25)^{3}

Solution

125

Solution steps

(25)^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(25)^{2 + 1} = (25)^{2} 25

= (25)^{2} 25

Apply exponent rule:

(25)^{2} = 25

= 2525

Prime factorization of

25 : 5^{2}

= 25 5^{2}

Apply radical rule:

a^{2} = a, a \geq 0

5^{2} = 5

= 25 \cdot 5

Multiply the numbers:

25 \cdot 5 = 125

= 125

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Frequently Asked Questions (FAQ)

What is (sqrt(25))^3 ?
The solution to (sqrt(25))^3 is 125