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Popular >

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

Solution

simplify

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

Solution

a^{3} b^{4} c

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 3 = 4

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

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Frequently Asked Questions (FAQ)

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