Question
\( \left(y^{-7}\right)^{5} \) Write your answer without using negative
Ask by Gray Fuentes. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( \frac{1}{y^{35}} \)
Solution
First, we use the power of a power property: (y^(–7))⁵ = y^(–7×5) = y^(–35). To express it without a negative exponent, we write it as 1/y³⁵.
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Simplify this solution Bonus Knowledge
To simplify \( \left(y^{-7}\right)^{5} \), you can multiply the exponents: \( -7 \times 5 = -35 \). This means you have \( y^{-35} \). To express this without a negative exponent, you can rewrite it as \( \frac{1}{y^{35}} \). So the final answer is \( \frac{1}{y^{35}} \).
