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Popular >

simplify (a^2bc^3)(ab^4c^3)

Solution

simplify

(a^{2} b c^{3}) (a b^{4} c^{3})

Solution

a^{3} b^{5} c^{6}

Solution steps

(a^{2} b c^{3}) (a b^{4} c^{3})

Apply exponent rule:

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

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

= b c^{3} a^{2 + 1} b^{4} c^{3}

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

b b^{4} = b^{1 + 4}

= c^{3} a^{3} b^{1 + 4} c^{3}

Add the numbers:

1 + 4 = 5

= c^{3} a^{3} b^{5} c^{3}

Apply exponent rule:

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

c^{3} c^{3} = c^{3 + 3}

= a^{3} b^{5} c^{3 + 3}

Add the numbers:

3 + 3 = 6

= a^{3} b^{5} c^{6}

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Frequently Asked Questions (FAQ)

What is (a^2bc^3)(ab^4c^3) ?
The solution to (a^2bc^3)(ab^4c^3) is a^3b^5c^6