Question

Can someone please explain this for me I’m
Not sure of the steps. See photo above

Answer 1

$\bf \cfrac{x^8}{x^{14}}\implies x^8x^{-14}\implies x^{8-14}\implies x^{-6}\implies \stackrel{\textit{using the power rule}}{-6x^{-7}\implies \cfrac{-6}{x^7}}$

Answer 2

Question 1:

We have the following expression:

$4x ^ {-4}$

By definition of power properties we have to:

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

Then, rewriting the expression:

$\frac {4} {x ^ 4}$

ANswer:

$\frac {4} {x ^ 4}$

Question 2:

For this case we have the following expression:

$\frac {x ^ 8} {x ^ {14}} =$

By definition of power properties of the same base we have:

$x ^ n * x ^ m = x ^ {n + m}$

Then, we can rewrite the denominator of the expression as:

$\frac {x ^ 8} {x ^ 8 * x ^ 6} =$

Simplifying terms of the numerator and denominator:

$\frac {1} {x ^ 6}$

ANswer:

$\frac {1} {x ^ 6}$