Roots/Radicals & Exponents

Basic Exponents

100

5^0 =

1

200

3^4=

81

300

x^-2=

1/x²

400

-(4)^2

-16

500

(-2)^4

16

Square and Cube Roots

100

What is the square root of 25? 

A) 25  B) 625  C) 5  D) 2

C) 5

200

What is the cube root of 125?

5

300

Between what two numbers is the value of the square root of 60?

7 and 8

400

Solve: x^2 = 49

+ or - 7

500

What is the square root of x^2?

x

Laws of Exponents

100

(2^3)(2^2) =

2⁵ or 32

200

1/(m^-4) =

m⁴

300

(4^-5)/(4³) =

4^-8 

or 1/4⁸

or 1/65536

400

(5^-3)(5) =

5^-2 

or 1/5²

or 1/25

500

(2^3)(2^4)=2^x What would you have to do to figure out what x equals?

3 + 4

Prime Factorization

100

14

2(7)

200

16

2⁴

300

104

2³(13)

400

140

2⁴(5²)

500

456

2³(3)(19)

Simplify

100

6²a⁴b⁰

36a⁴

200

(a²b⁵)³/4a³b³

a²b¹²/4

300

3a(b²c)⁵

3ab¹⁰c⁵

400

(5a^2b^-3)/(5^3a^-2b^-4)

(a^4b)/5^2

500

What is the cubic root of 4⁹

4³ or 64