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Popular >

simplify (5ab^2)^2

Solution

simplify

(5 a b^{2})^{2}

Solution

25 a^{2} b^{4}

Solution steps

(5 a b^{2})^{2}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

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

5^{2} = 25

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

Simplify

(b^{2})^{2} : b^{4}

= 25 a^{2} b^{4}

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Frequently Asked Questions (FAQ)

What is (5ab^2)^2 ?
The solution to (5ab^2)^2 is 25a^2b^4