Compare -(5³) and 5³: Finding the Missing Operator

Which is larger?

(53)53 -(5^3)⬜5^3

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Place the appropriate sign
00:03 First, let's calculate the sign
00:06 Odd exponent, therefore the sign remains negative
00:09 In the second number same number, but positive
00:12 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Which is larger?

(53)53 -(5^3)⬜5^3

2

Step-by-step solution

To solve this problem, we'll compare the expressions (53) -(5^3) and 53 5^3 by calculating each separately and then determining which is larger.

Step 1: Calculate 53 5^3 .
This is equal to 5×5×5=125 5 \times 5 \times 5 = 125 .

Step 2: Calculate (53) -(5^3) .
Since 53=125 5^3 = 125 , applying the negative sign gives us (53)=125 -(5^3) = -125 .

Step 3: Compare the values.
We have (53)=125 -(5^3) = -125 and 53=125 5^3 = 125 .
Clearly, 125<125-125 < 125.

Thus, the correct answer is that (53)<53 -(5^3) \lt 5^3 .

The correct choice for this problem is < < .

3

Final Answer

< <

Practice Quiz

Test your knowledge with interactive questions

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

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Powers - special cases questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations