Rewrite as a base to a​ power, if possible.

Question

StartFraction t Superscript 7 Over t Superscript 4 EndFraction
  
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Question content area right
Part 1
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
StartFraction t Superscript 7 Over t Superscript 4 EndFraction
equals
  
enter your response here
​(Type exponential notation with positive​ exponents.)
B.
The expression cannot be simplified.

Answer 1

To simplify the expression \(\frac{t^7}{t^4}\) as a base to a power, you can use the property of exponents that states \(\frac{a^m}{a^n} = a^{m-n}\).

So, we can perform the following calculation:

\[ \frac{t^7}{t^4} = t^{7-4} = t^3 \]

Thus, the simplified expression in exponential notation is:

A. \(\frac{t^7}{t^4} = t^3\)