Question
11 Write the expression with only positive exponents. \( \frac{4 y^{-8}}{x^{3}} \)
Ask by Beck Ward. in the United States
Mar 07,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The expression with only positive exponents is \( \frac{4}{x^{3}y^{8}} \).
Solution
Calculate or simplify the expression \( \frac{4y^{-8}}{x^{3}} \).
Simplify the expression by following steps:
- step0: Solution:
\(\frac{4y^{-8}}{x^{3}}\)
- step1: Rewrite the expression:
\(\frac{\frac{4}{y^{8}}}{x^{3}}\)
- step2: Simplify:
\(\frac{4}{x^{3}y^{8}}\)
The expression with only positive exponents is \( \frac{4}{x^{3}y^{8}} \).
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Simplify this solution Mind Expander
To write the expression with only positive exponents, we can rewrite \(y^{-8}\) as \(\frac{1}{y^{8}}\). Thus, the expression becomes: \[ \frac{4 y^{-8}}{x^{3}} = \frac{4}{x^{3} y^{8}} \] This gives us the same value but with all positive exponents. Now you have the expression \(\frac{4}{x^{3} y^{8}}\), which is in its simplified form using only positive exponents!
