Question

Please help me simplify this fraction. Or is it already in its simplest form?

Answer 1

Answer:

1 / x^8

Step-by-step explanation:

We know that a^b / a^c = a^ (b-c)

x^7 / x^ 15 = x^ (7-15) = x^-8

We also that that a^-b = 1/ a^b

x^-8 = 1 / x^8

Answer 2

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:

$\frac{x^7}{x^{15} } = \frac{x* x * x * x * x * x * x}{x * x * x * x * x * x * x * x * x * x * x * x * x * x * x}$

When dividing with the same variables with different powers, you are effectively subtracting the powers. Your answer will look like:

$\frac{x^7}{x^(15)} = x^{7 - 15} = x^{-8}$

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.

$x^{-8} = \frac{1}{x^{8} }$

1/(x^8) is your answer.

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