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Popular >

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

Solution

simplify

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

Solution

12 a^{5} b^{2}

Solution steps

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

Apply exponent rule:

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

a^{2} a^{3} = a^{2 + 3}

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

Add the numbers:

2 + 3 = 5

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

Apply exponent rule:

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

bb = b^{1 + 1}

= 3 \cdot 4 a^{5} b^{1 + 1}

Add the numbers:

1 + 1 = 2

= 3 \cdot 4 a^{5} b^{2}

Multiply the numbers:

3 \cdot 4 = 12

= 12 a^{5} b^{2}

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Frequently Asked Questions (FAQ)

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