Question
Simplify \( 8 x^{-1} \) A \( \frac{8}{x} \) B \( \frac{1}{8 x} \) c \( -8 x \) D \( -\frac{1}{8 x} \)
Ask by Peterson Wang. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The answer is \( \frac{8}{x} \), choice A.
Solution
To simplify the expression \( 8 x^{-1} \), you can use the property of exponents that states \( x^{-n} = \frac{1}{x^n} \). Applying this:
\[
8 x^{-1} = \frac{8}{x}
\]
So, the correct answer is:
**A) \( \frac{8}{x} \)**
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
When you see \( 8 x^{-1} \), you can use the property of exponents that states \( x^{-1} = \frac{1}{x} \). Therefore, the expression simplifies to \( 8 \cdot \frac{1}{x} \), which is the same as \( \frac{8}{x} \). So, the correct answer is A \( \frac{8}{x} \). The beauty of negative exponents is that they remind us of the power of division! Whenever you encounter a negative exponent, simply flip it to find its positive counterpart. In this case, we learned that \( x^{-1} \) really just gives you a wonderful way to express something as a fraction, making it easier to work with in equations or when combining terms!
