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Popular >

simplify (8abc)(9a^2b)

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

= 8 b c \cdot 9 a^{1 + 2} b

Add the numbers:

1 + 2 = 3

= 8 b c \cdot 9 a^{3} b

Apply exponent rule:

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

bb = b^{1 + 1}

= 8 c \cdot 9 a^{3} b^{1 + 1}

Add the numbers:

1 + 1 = 2

= 8 c \cdot 9 a^{3} b^{2}

Multiply the numbers:

8 \cdot 9 = 72

= 72 a^{3} b^{2} c

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Frequently Asked Questions (FAQ)

What is (8abc)(9a^2b) ?
The solution to (8abc)(9a^2b) is 72a^3b^2c