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Popular >

simplify (2ab)(4ab^2)

Solution

simplify

(2 ab) (4 a b^{2})

Solution

8 a^{2} b^{3}

Solution steps

(2 ab) (4 a b^{2})

Apply exponent rule:

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

aa = a^{1 + 1}

= 2 b \cdot 4 a^{1 + 1} b^{2}

Add the numbers:

1 + 1 = 2

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

Apply exponent rule:

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

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

= 2 \cdot 4 a^{2} b^{1 + 2}

Add the numbers:

1 + 2 = 3

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

Multiply the numbers:

2 \cdot 4 = 8

= 8 a^{2} b^{3}

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Frequently Asked Questions (FAQ)

What is (2ab)(4ab^2) ?
The solution to (2ab)(4ab^2) is 8a^2b^3