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Lesson 1: Meaning of exponents

# Squaring numbers

Learn how to square basic numbers and make a connection between squaring and the area of a square.
Let's start by taking a look at an example evaluating start color #11accd, 3, end color #11accd squared:
start color #11accd, 3, end color #11accd, squared, equals, start color #11accd, 3, end color #11accd, times, start color #11accd, 3, end color #11accd, equals, start color #1fab54, 9, end color #1fab54
Here's a question to make sure you got that:
What does it mean to square a number?

## Connection to a square

Finding start color #11accd, 3, end color #11accd, squared (read as "three squared") is the same as finding the area of a square with side length start color #11accd, 3, end color #11accd:

## Practice set:

Problem 1A
• Current
1, squared, equals

## Challenge set:

Problem 2A
• Current
a, squared, equals

## Want to join the conversation?

• what is 5 to the third power
• well, to the power means the number, times itself, however many times the power is. for example,
2 to the fourth power would be 16. because 2 times two is four, that times two is eight, eight times two is sixteen. 2*2*2*2. so five to the three would be 5*5*5. I bet you can find the answer from there.
• Can We Negative Square Num.? If yes, How?
• Yes, we can use in imaginary numbers, where (-1)²=i , I think you're gonna see it at the pre-cauculus subject.
• Good Luck guys I am hope you do well
• thanks but I'm just here to answer peoples questions
• what if 6x6x6x9=?
• 6 x 6 x 6 x 9 = 6^3 x 9 = 1944
• What is imaginary numbers?
• Good question! In the real number system, it is not possible to find the square root of a negative number, since no real number times itself is negative. This is because 0 times itself is 0, a negative number times itself is positive, and a positive number times itself is positive.

To get around this problem, mathematicians invented the imaginary unit i, defined as the square root of -1. This produces an extended number system called the complex numbers, defined as numbers in the form a+bi where a and b are real numbers. For example, 8, 3 - 2i, and 5i are complex numbers. Also, 5i is an example of what is called a pure imaginary number, because 5i is just a real number times i.

Have a blessed, wonderful day!
• 5^3 = 125
5 x 5 x 5 = 125
• why do we need alphebat letter for math and why can we use them today or in the future
• Nice question!
Alphabet letters like x or y, fill in the missing space.
This is an easy problem: 3 + x = 12
You can see the x substitutes for the blank! When you have a missing piece in your math problem like that, you can put a letter in it to help. Once you get the answer though, make sure to get rid of the letter unless it’s needed for the problem.
Hope this helps ^-^
• what if 5 to the 10th power
• 5 to the 10th power is like multiplying 5 10 times.
5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5= 9765625
(1 vote)
• if 3times 6 equals 18 what does 9 times 44
(1 vote)
• A good trick for multiplying any number by 9 is to multiply by 10 and then subtract the original number.

So 9*44 = 10*44-44 = 440-44 = 396.
• can7 to the power of 1 be possibale?
(1 vote)
• Yes, but it would just be seven, as 7^1 is just 7*1.