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Popular >

simplify 3ab^3(4a^2b)

Solution

simplify

3 a b^{3} (4 a^{2} b)

Solution

12 a^{3} b^{4}

Solution steps

3 a b^{3} (4 a^{2} b)

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

3 + 1 = 4

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

Multiply the numbers:

3 \cdot 4 = 12

= 12 a^{3} b^{4}

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Frequently Asked Questions (FAQ)

What is 3ab^3(4a^2b) ?
The solution to 3ab^3(4a^2b) is 12a^3b^4