Question
Write the following expression without negative exponents and without parentheses. \[ (6 x)^{-2} \]
Ask by Washington Schofield. in the United States
Jan 22,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\[
\frac{1}{36x^{2}}
\]
Solution
Sign in to Unlock Answers for Free!
A Learning Platform Trusted by Millions of Real Students and Teachers.
Unlock
Reviewed and approved by the UpStudy tutoring team
Like
Extra Insights
To rewrite the expression \( (6 x)^{-2} \) without negative exponents, we can use the rule that \( a^{-n} = \frac{1}{a^{n}} \). Applying this, we get: \[ (6 x)^{-2} = \frac{1}{(6 x)^{2}}. \] Next, we can simplify \( (6 x)^{2} \): \[ (6 x)^{2} = 6^{2} \cdot x^{2} = 36 x^{2}. \] Thus, we can rewrite the original expression as: \[ \frac{1}{36 x^{2}}. \] So, the expression without negative exponents and parentheses is: \[ \frac{1}{36 x^{2}}. \]