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Popular >

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

Solution

simplify

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

Solution

8 a^{5} b^{3}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 3 = 5

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

Apply exponent rule:

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

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

= 4 \cdot 2 a^{5} b^{1 + 2}

Add the numbers:

1 + 2 = 3

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

Multiply the numbers:

4 \cdot 2 = 8

= 8 a^{5} b^{3}

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Frequently Asked Questions (FAQ)

What is (4a^2b)(2a^3b^2) ?
The solution to (4a^2b)(2a^3b^2) is 8a^5b^3