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Cerrena [4.2K]
3 years ago
8

Help me please and explain

Mathematics
1 answer:
KiRa [710]3 years ago
6 0
It is the letter C. is this on a test!?
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For this case we must find the quotient of the following expression:

\frac {(- 8x ^ 2 * y) (- 7x ^ 5 * y ^ 3)} {- 2x ^ 2 * y ^ 3}

We can rewrite the expression as:

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\frac {56x ^ 2 * y * x ^ 5 * y ^ 3} {- 2x ^ 2 * y ^ 3} =

By definition of multiplication of powers of the same base, we place the same base and add the exponents:

\frac {56x ^ {2 + 5} * y ^ {1 + 3}} {- 2x ^ 2 * y ^ 3} =\\\frac {56x ^ {7} * y ^ {4}} {- 2x ^ 2 * y ^ 3} =

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-28x^{ 7-2} * y^{ 4-3} =\\-28x ^ 5 * y

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-28x ^ 5 * y

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