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Popular >

simplify (2ab)(8a^3b^2)

Solution

simplify

(2 ab) (8 a^{3} b^{2})

Solution

16 a^{4} b^{3}

Solution steps

(2 ab) (8 a^{3} b^{2})

Apply exponent rule:

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

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

= 2 b \cdot 8 a^{1 + 3} b^{2}

Add the numbers:

1 + 3 = 4

= 2 b \cdot 8 a^{4} b^{2}

Apply exponent rule:

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

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

= 2 \cdot 8 a^{4} b^{1 + 2}

Add the numbers:

1 + 2 = 3

= 2 \cdot 8 a^{4} b^{3}

Multiply the numbers:

2 \cdot 8 = 16

= 16 a^{4} b^{3}

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Frequently Asked Questions (FAQ)

What is (2ab)(8a^3b^2) ?
The solution to (2ab)(8a^3b^2) is 16a^4b^3