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Popular >

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

Solution

simplify

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

Solution

6 a^{3} b^{3}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Multiply the numbers:

3 \cdot 2 = 6

= 6 a^{3} b^{3}

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Frequently Asked Questions (FAQ)

What is (3ab^2)(2a^2b) ?
The solution to (3ab^2)(2a^2b) is 6a^3b^3