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Popular >

simplify (a^2bc)(ab^2c)

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

cc = c^{1 + 1}

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

Add the numbers:

1 + 1 = 2

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

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Frequently Asked Questions (FAQ)

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