Answer:
1/(x^8)
Step-by-step explanation:
Simplify by the following steps. To make it easier, I will expand them:
First, expand each of the powers out:
[tex]\frac{x^7}{x^{15} } = \frac{x* x * x * x * x * x * x}{x * x * x * x * x * x * x * x * x * x * x * x * x * x * x}[/tex]
When dividing with the same variables with different powers, you are effectively subtracting the powers. Your answer will look like:
[tex]\frac{x^7}{x^(15)} = x^{7 - 15} = x^{-8}[/tex]
Next, simplify. Note that if there is a negative sign in the power, you must change the sign into a positive by flipping the fraction.
[tex]x^{-8} = \frac{1}{x^{8} }[/tex]
1/(x^8) is your answer.
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