Compare Expressions: -2² ⬜ (-2)³ | Finding the Missing Operator

Question

Which is larger?

$-(2)^2⬜(-2)^3$

To solve this problem, follow these steps:

Step 1: Calculate $-(2)^2$ .
Here, $(2)^2 = 4$ , so $-(2)^2 = -4$ .
Step 2: Calculate $(-2)^3$ .
Since $(-2)^3 = (-2) \times (-2) \times (-2) = -8$ .
Step 3: Compare the results.
We have $-(2)^2 = -4$ and $(-2)^3 = -8$ . Comparing -4 and -8, we see that $-4 > -8$ .

Since $-4$ is greater than $-8$ , the symbol $>$ is correct.

Therefore, the solution to the problem is $>$ .

$>$