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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 2 = 3

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 3 = 4

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

Apply exponent rule:

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

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

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

Add the numbers:

1 + 4 = 5

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

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Frequently Asked Questions (FAQ)

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