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Popular >

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

Solution

simplify

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

Solution

a^{4} b^{3} c^{5}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 3 = 4

= b^{2} c a^{4} b c^{4}

Apply exponent rule:

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

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

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

Add the numbers:

2 + 1 = 3

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

Apply exponent rule:

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

c c^{4} = c^{1 + 4}

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

Add the numbers:

1 + 4 = 5

= a^{4} b^{3} c^{5}

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Frequently Asked Questions (FAQ)

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