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Popular >

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

Solution

simplify

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

Solution

8 a^{3} b^{3} c

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

Multiply the numbers:

2 \cdot 4 = 8

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

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Frequently Asked Questions (FAQ)

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