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Popular >

simplify (a^2b^3)^5

Solution

simplify

(a^{2} b^{3})^{5}

Solution

a^{10} b^{15}

Solution steps

(a^{2} b^{3})^{5}

Apply exponent rule:

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

(a^{2} b^{3})^{5} = (a^{2})^{5} (b^{3})^{5}

= (a^{2})^{5} (b^{3})^{5}

Simplify

(a^{2})^{5} : a^{10}

= a^{10} (b^{3})^{5}

Simplify

(b^{3})^{5} : b^{15}

= a^{10} b^{15}

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Frequently Asked Questions (FAQ)

What is (a^2b^3)^5 ?
The solution to (a^2b^3)^5 is a^{10}b^{15}