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Popular >

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

Solution

simplify

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

Solution

12 a^{3} b^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

b^{3} b^{2} = b^{3 + 2}

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

Add the numbers:

3 + 2 = 5

= 4 \cdot 3 a^{3} b^{5}

Multiply the numbers:

4 \cdot 3 = 12

= 12 a^{3} b^{5}

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Frequently Asked Questions (FAQ)

What is (4a^2b^3)3ab^2 ?
The solution to (4a^2b^3)3ab^2 is 12a^3b^5