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zvonat [6]
3 years ago
11

What is the quotient of -8(^6)/4x(^-3)

Mathematics
1 answer:
Anna [14]3 years ago
8 0

For this case we must find the quotient of the following expression:

\frac {-8x ^ 6} {4x ^ {- 3}} =

By definition of power properties we have:

a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}

Rewriting the expression we have:

\frac{-8}{4}*x^6*x^3

By definition of multiplication of powers of the same base we have to put the same base and add the exponents:

-2x^{6+3}

Answer:

-2x ^ 9

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