Chapter 13.2, Problem 16AR

To determine

To simplify. Use only positive exponents $\frac{t^3}{t^5}$.

Answer to Problem 16AR

The required solution is $\frac{t^3}{t^5}=\frac{1}{t^2}$ .

Explanation of Solution

Given information: The number is $\frac{t^3}{t^5}$ .

Calculation: The required solution is obtained as,

When you are dividing two exponents with the same number, you subtract the bottom exponent from the top exponent.

  $\begin{array}{l}\frac{t^3}{t^5}\\ =t^3\cdot t^{-5}\\ =t^{\left(3-5\right)}\\ =t^{-2}\\ =\frac{1}{t^2}\end{array}$

Hence, the required solution is $\frac{t^3}{t^5}=\frac{1}{t^2}$ .