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

Which is larger?

−(2)2⬜(−2)3 -(2)^2⬜(-2)^3

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Place the appropriate sign
00:03 Let's calculate the power without the sign, the sign is not part of the power
00:07 Now let's calculate the sign of the second power
00:10 Odd power, therefore the sign remains negative
00:16 Let's calculate the power and compare
00:21 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Which is larger?

−(2)2⬜(−2)3 -(2)^2⬜(-2)^3

2

Step-by-step solution

To solve this problem, follow these steps:

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

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

Therefore, the solution to the problem is > > .

3

Final Answer

> >

Practice Quiz

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\( \)\( -(2)^2= \)

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