Questions: Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only include positive exponents. x^(-5)

Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only include positive exponents.

x^(-5)

Transcript text: Simplify the expression using the properties of exponents. Expand any numerical portion of your answer and only include positive exponents. \[ x^{-5} \]

Solution

Solution Steps

Step 1: Rewrite the expression with a positive exponent

The given expression is $x^{-5}$. To rewrite this with a positive exponent, we use the property $a^{-n} = \frac{1}{a^n}$. In this case, $a=x$ and $n=5$.

Step 2: Substitute and simplify

Substituting the values into the property, we get: $x^{-5} = \frac{1}{x^5}$