Question

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

Answer 1

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:

$-2x ^ 9$