Question
Apply all relevant properties of exponents to simplify the following expressions. Enter your answer as an integer or completely simplified fraction without negative exponents. a) \( t^{2} t^{-4} \) Answer
Ask by Malone Brewer. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
1/t²
Solution
To simplify t² · t⁻⁴, add the exponents (since the bases are the same):
t² · t⁻⁴ = t^(2 + (-4)) = t^(-2).
To eliminate the negative exponent, rewrite t^(-2) as 1/t².
Final Answer: 1/t².
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
To simplify \( t^{2} t^{-4} \), you can apply the property of exponents that states when multiplying like bases, you add the exponents together. So, \( t^{2} t^{-4} = t^{2 + (-4)} = t^{-2} \). Since the problem requests that no negative exponents be present, we rewrite \( t^{-2} \) as \( \frac{1}{t^{2}} \). The final answer is \( \frac{1}{t^{2}} \).
