Questions: Simplify the expression. Write the result using positive e
9 x^-8
9 x^-8=
Transcript text: Simplify the expression. Write the result using positive e
\[
\begin{array}{l}
9 x^{-8} \\
9 x^{-8}=
\end{array}
\]
Solution
Solution Steps
To simplify the expression \(9x^{-8}\) and write the result using positive exponents, we need to apply the property of exponents that states \(a^{-n} = \frac{1}{a^n}\). This means we can rewrite the expression by moving the term with the negative exponent to the denominator.
Step 1: Identify the Expression
The given expression is \(9x^{-8}\).
Step 2: Apply the Property of Exponents
To simplify the expression, we use the property of exponents that states \(a^{-n} = \frac{1}{a^n}\). Applying this property, we rewrite the expression as:
\[
9x^{-8} = \frac{9}{x^8}
\]
Final Answer
The simplified expression using positive exponents is:
\[
\boxed{\frac{9}{x^8}}
\]