Calculate 6 Squared: Finding the Value of 6^2

Exponent Operations with Perfect Squares

62= 6^2=

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Step-by-step video solution

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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

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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

Which of the following is equivalent to the expression below?

\( \)\( 10,000^1 \)

FAQ

Everything you need to know about this question

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

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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?

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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'?

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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?

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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 ?

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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.

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