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}`