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Popular >

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

Solution

simplify

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

Solution

a^{4} b^{5}

Solution steps

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

Apply exponent rule:

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

a^{3} a = a^{3 + 1}

= b^{2} a^{3 + 1} b^{3}

Add the numbers:

3 + 1 = 4

= b^{2} a^{4} b^{3}

Apply exponent rule:

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

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

= a^{4} b^{2 + 3}

Add the numbers:

2 + 3 = 5

= a^{4} b^{5}

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Frequently Asked Questions (FAQ)

What is (a^3b^2)(ab^3) ?
The solution to (a^3b^2)(ab^3) is a^4b^5