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Popular >

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

Solution

simplify

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

Solution

6 a^{3} b^{2} c

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

bb = b^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

Multiply the numbers:

3 \cdot 2 = 6

= 6 a^{3} b^{2} c

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Frequently Asked Questions (FAQ)

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