Chapter 9.1, Problem 50PPS

To determine

To Replace:The dot with <, > or = to make the sentence $2^5•5^2$ true

Answer to Problem 50PPS

  $2^5>5^2$

Explanation of Solution

Given Information:

  $2^5•5^2$

Calculation:

  $\begin{array}{c}{2}^5=2\cdot 2\cdot 2\cdot 2\cdot 2\\ =36\end{array}$ And $\begin{array}{c}{5}^2=5\cdot 5\\ =25\end{array}$

When we write the number on the number line, a number that is on the right is greater than the number on the left.

  

We can see that 36 is on the right side of 25.

So, $2^5>5^2$