Alexander Goodwin
02/24/2024 · Senior High School
Simplify. Use positive exponents for any variables. \( \frac{t^{-4}}{t^{3}} \)
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Tutor-Verified Answer
Step-by-step Solution
To simplify the expression \( \frac{t^{-4}}{t^{3}} \), we can use the property of exponents that states:
\[
\frac{a^m}{a^n} = a^{m-n}
\]
In this case, we have:
\[
\frac{t^{-4}}{t^{3}} = t^{-4 - 3} = t^{-7}
\]
To express this with positive exponents, we can rewrite \( t^{-7} \) as:
\[
\frac{1}{t^{7}}
\]
Thus, the simplified expression is:
\[
\frac{1}{t^{7}}
\]
Quick Answer
\(\frac{1}{t^{7}}\)
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