Simplify to a single power of 3 : \[ \frac{3^{5}}{3} \] Answer Attempt 1 out of 2 Answer: 3 \( \square \)

When you simplify \(\frac{3^5}{3}\), you can use the rule of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \). In this case, \(3^5\) can be rewritten as \(3^{5-1}\), which equals \(3^4\). So, the final simplified form is \(3^4\), which is equal to 81. Another fun fact is that powers of 3 pop up all over the place in mathematics and nature! For instance, if you’ve ever heard of the Fibonacci sequence, you'll find interesting connections involving powers of 3 and the branching patterns of trees or the arrangement of leaves on a stem, revealing the beauty of math in the world around us!