Calculate 6 Squared: Finding the Value of 6^2

Exponent Operations with Perfect Squares

62= 6^2=

❤️ 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 Solve
00:03 Break down from exponent to multiplication
00:06 Calculate the multiplication
00:09 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

62= 6^2=

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Recognize that 62 6^2 means 6×6 6 \times 6 .
  • Step 2: Perform the multiplication of 6 by itself.

Now, let's work through each step:
Step 1: The expression 62 6^2 indicates we need to multiply 6 by itself.
Step 2: Calculating 6×6 6 \times 6 gives us 36.

Therefore, the value of 62 6^2 is 36.

3

Final Answer

36

Key Points to Remember

Essential concepts to master this topic
  • Definition: An exponent means multiply the base by itself
  • Technique: 62=6×6=36 6^2 = 6 \times 6 = 36
  • Check: Verify that 36 ÷ 6 = 6, confirming our answer ✓

Common Mistakes

Avoid these frequent errors
  • Adding instead of multiplying the base
    Don't calculate 62 6^2 as 6 + 6 = 12! Exponents mean repeated multiplication, not addition. Always multiply the base by itself the number of times shown in the exponent.

Practice Quiz

Test your knowledge with interactive questions

\( 11^2= \)

FAQ

Everything you need to know about this question

What does the small 2 mean in 62 6^2 ?

+

The small 2 is called an exponent or power. It tells you how many times to multiply the base number (6) by itself. So 62 6^2 means 6 times 6.

Is there a faster way than multiplying 6 × 6?

+

For small numbers like 6, multiplication is fastest! But you can also think of it as area of a square - a 6×6 square has area 36. Memorizing common squares like 62=36 6^2 = 36 helps too!

Why is 62 6^2 called 'six squared'?

+

It's called 'squared' because 62 6^2 represents the area of a square with sides of length 6. The word 'square' comes from this geometric connection!

What's the difference between 62 6^2 and 6 × 2?

+

62 6^2 means 6 times 6 = 36, while 6 × 2 means 6 times 2 = 12. The position of the 2 completely changes the meaning - exponent vs regular multiplication!

How do I remember that 62=36 6^2 = 36 ?

+

Try these memory tricks: 6 × 6 = 36 (practice the multiplication), or think 'six squared is thirty-six' - they both end in 'x' sounds! Regular practice with flashcards helps too.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Powers and Roots - Basic 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