Real Numbers and Monomials

Powers and Exponents

100

Write the expression using exponents: 

(-6)(-6)(-6)(-6)

(-6)⁴

200

Write the expression using exponents: 

(3/4)(3/4)(3/4)(3/4)(3/4)(3/4)

(3/4)⁶

300

Evaluate the following expression: (NO CALCULATORS)

(-2)⁶

64

400

Evaluate the expression: (NO CALCULATORS)

3³ X 4²

43

500

Evaluate each expression if c = -1 and d = 2

(c³ + d⁴)² - (c + d)³ 

224

Multiplying Monomials

100

Simplify: 

2⁴ X 2¹¹

2¹⁵

200

Simplify:

5⁸ X 5

5⁹

300

Simplify:

2g² X 7g⁶

14g⁸

400

Simplify: 

-5y³(-8y⁶)

40y⁹

500

(-7a⁴bc³)(5ab⁴c²)

-35a⁵b⁵c⁵

Dividing Monomials

100

Simplify:

7⁷/ 7

7⁶

200

Simplify:

9c⁷ / 3c²

3c⁵

300

Simplify:

3⁴x⁴ / 3x²

3³x²

400

Simplify: 

6² X 7⁴ X 8³ / 6 X 7² X 8²

6 X 7² X 8

500

4a⁶ X 25b³ X (-9)⁷ / 2a² X 5b X 3⁶

2a² X 5b² X (-3)

Powers to Powers

100

Simplify: 

(2⁵)⁴

2²⁰

200

(8b⁹)³

8³b²⁷  = 512b²⁷

300

(-2m⁷n⁶)⁵

(-2)⁵ X m³⁵ X n³⁰ = -32m³⁵n³⁰

400

Find the area of a square with a side length of 8g³h

(8g³h)² = 8²g⁶h² = 64g⁶h²

500

Find the volume of a cube with a side length of 5r²s³

(5r²s³)³ = 5³r⁶s⁹ = 125r⁶s⁹

Evaluating Powers

100

Evaluate the following if g = 2. NO CALCULATORS.

g⁶

64

200

Evaluate the following if a = 3 and b = 4

(a + b)³

343

300

Evaluate the following if g = 2 and h = -3 

g³ + h²

-1

400

Evaluate the following if a = 2 and b = -4

(a-b)² + b³

-28

500

Evaluate the following if a = 1/2 and b= 2

a³ X b⁶ - (4a + b)²

-8