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Popular >

simplify (2a^3b^2)(9abc)

Solution

simplify

(2 a^{3} b^{2}) (9 ab c)

Solution

18 a^{4} b^{3} c

Solution steps

(2 a^{3} b^{2}) (9 ab c)

Apply exponent rule:

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

a^{3} a = a^{3 + 1}

= 2 b^{2} \cdot 9 a^{3 + 1} b c

Add the numbers:

3 + 1 = 4

= 2 b^{2} \cdot 9 a^{4} b c

Apply exponent rule:

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

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

= 2 \cdot 9 a^{4} b^{2 + 1} c

Add the numbers:

2 + 1 = 3

= 2 \cdot 9 a^{4} b^{3} c

Multiply the numbers:

2 \cdot 9 = 18

= 18 a^{4} b^{3} c

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Frequently Asked Questions (FAQ)

What is (2a^3b^2)(9abc) ?
The solution to (2a^3b^2)(9abc) is 18a^4b^3c