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Popular >

simplify (a^2b^2)(a^3b)

Solution

simplify

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

Solution

a^{5} b^{3}

Solution steps

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

Apply exponent rule:

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

a^{2} a^{3} = a^{2 + 3}

= b^{2} a^{2 + 3} b

Add the numbers:

2 + 3 = 5

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

Apply exponent rule:

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

b^{2} b = b^{2 + 1}

= a^{5} b^{2 + 1}

Add the numbers:

2 + 1 = 3

= a^{5} b^{3}

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Frequently Asked Questions (FAQ)

What is (a^2b^2)(a^3b) ?
The solution to (a^2b^2)(a^3b) is a^5b^3