Exponents, Perfect Squares and Square Roots!

Exponents

100

How do you express 2 x 2 x 2 in exponent form?

2^3

200

What is 4^5 in expanded form?

4 x 4 x 4 x 4 x 4

300

Solve 2^4

16

400

Solve 6^3

216

Square Roots

100

What is the square root of 4?

2

200

Solve. √49 =

7

300

What is the square root sign (√) called?

A radical

400

Solve. √9 x √121 =

33

Perfect Squares

100

Which of the following is a perfect square? Answer and explain. A. 11 B. 20 C. 4 D. 8

C. because 2 x 2 = 4.

200

What are the two different ways you can say 5^2?

"Five to the second power" and "five squared"

300

Solve. (perfect square of 7) + (the perfect square of 3) =

49 + 9 = 58.

400

Explain why we call it a "Perfect Square." Be specific!

When finding the area of a square, you multiply length times width. In a square, all four sides are equal. Therefore, when you find the area of a perfect square, you are multiplying the same number by itself.

Random

100

How do you say 6^5?

"Six to the fifth power."

200

What are the two different ways you can say 9^3?

"Nine to the third power" and "nine cubed"

300

James makes 15^2 a week. How much does he make in 3 weeks?

James makes $675 in three weeks.

400

You just met Harry Potter and he gave you a magic coin! The coin doubles every day! On the second day, you have two coins and on the third day you have four coins. The equation for the third day is 2^2. Each coin is worth $10. How much money will you have on the 15th day? Explain how you got your answer.

You will have $163,840 on the 15th day. First, I found out how many coins you would have by solving 2^14 = 16,384. Next, I multiplied my answer by $10 by moving my decimal one place to the right, which gave me $163,840.