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Popular >

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

Solution

simplify

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

Solution

a^{5} b^{3}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

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