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Popular >

simplify (a^2*sqrt(a))^2

Solution

simplify

(a^{2} \cdot a)^{2}

Solution

a^{5}

Solution steps

(a^{2} a)^{2}

Apply exponent rule:

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

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

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

Simplify

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

= a^{4} (a)^{2}

(a)^{2} = a

= a^{4} a

Apply exponent rule:

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

a^{4} a = a^{4 + 1}

= a^{4 + 1}

Add the numbers:

4 + 1 = 5

= a^{5}

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Frequently Asked Questions (FAQ)

What is (a^2*sqrt(a))^2 ?
The solution to (a^2*sqrt(a))^2 is a^5