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Popular >

simplify (4ab)(ab^3)

Solution

simplify

(4 ab) (a b^{3})

Solution

4 a^{2} b^{4}

Solution steps

(4 ab) (a b^{3})

Apply exponent rule:

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

aa = a^{1 + 1}

= 4 b a^{1 + 1} b^{3}

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

= 4 a^{2} b^{1 + 3}

Add the numbers:

1 + 3 = 4

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

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Frequently Asked Questions (FAQ)

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