Question
\[ x^{3} \cdot x^{-5} \] Write your answer with a positive exponent only
Ask by Medina Summers. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( \frac{1}{x^{2}} \)
Solution
To simplify x³ · x⁻⁵, subtract the exponents: 3 + (-5) = -2, so the expression becomes x⁻².
To rewrite with a positive exponent, express x⁻² as 1/x².
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Beyond the Answer
To simplify the expression \( x^{3} \cdot x^{-5} \), you need to apply the rule of exponents that states when you multiply like bases, you add the exponents. So, \( 3 + (-5) = -2 \). This gives you \( x^{-2} \). To express this with a positive exponent, you can rewrite it as \( \frac{1}{x^{2}} \).
