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Popular >

simplify (ab)(ab^2)

Solution

simplify

(ab) (a b^{2})

Solution

a^{2} b^{3}

Solution steps

(ab) (a b^{2})

Apply exponent rule:

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

aa = a^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

= a^{2} b^{3}

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Frequently Asked Questions (FAQ)

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