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Popular >

simplify (abc^4)(a^3b^2c^4)

Solution

simplify

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

Solution

a^{4} b^{3} c^{8}

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 3 = 4

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

4 + 4 = 8

= a^{4} b^{3} c^{8}

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Frequently Asked Questions (FAQ)

What is (abc^4)(a^3b^2c^4) ?
The solution to (abc^4)(a^3b^2c^4) is a^4b^3c^8