Math  /  Algebra

Questionills Check Quiz (Integrated Question 1 of 17 This question 11 \leftarrow
Use properties of rational exponents to simplify the expression. Assume that all variables represent positive numbers. x1/5x2/5x1/5x2/5=\begin{array}{l} \frac{x^{1 / 5}}{x^{2 / 5}} \\ \frac{x^{1 / 5}}{x^{2 / 5}}= \end{array} \square (Use positive exponents only.)

Studdy Solution
Convert the expression to use positive exponents only. Recall that am=1ama^{-m} = \frac{1}{a^m}.
Thus, x1/5x^{-1/5} can be rewritten as:
1x1/5 \frac{1}{x^{1/5}}
The simplified expression with positive exponents is:
1x1/5 \boxed{\frac{1}{x^{1/5}}}

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord