Powers, Exponents, and Integer Operations

Express with Exponents

100

Express using Exponents:

 8 * 8 * 8 * 8

8⁴

200

Express using Exponents: 

7 * 7 * 5 * 5* 5

7²*5³

300

Express using Exponents:

 3/8 * 3/8 * 3/8 * 3/8

(3/8)⁴

400

Express using Exponents: 

 n * 4 * n * n * 4 * 4

(4n)³ or 4³n³

500

Express using Exponents: 

9 * 9 * x * w * x * y *w * 9 * y

9³w²x²y²

Solve Exponents

100

Evaluate: 4³

64

200

Evaluate: 2⁵

32

300

Evaluate: 2⁸ - 3²

247

400

Evaluate: (3/5)⁴

81/625

500

Evaluate: (-3)³/ (-3)²

-3

Multiply & Divide with Exponents

100

Express using exponents: 5² * 5⁵

5⁷

200

Express using exponents: 3x * 4x⁴

12x⁵

300

Express using exponents: 3⁸ / 3⁴

3⁴

400

Express using exponents: b¹² / b⁵

b⁷

500

Express using exponents: (a⁴c⁶) / (a² c)

a²c⁵

Operations with Integers

100

-6 + -7 + 5 = 

-8

200

-9 - 6 - (-4) = 

-11

300

Simplify: 2m + 7 - 4m - 7

-2m

400

-7(-3) - 13 = 

8

500

2³(-5) / (-2)^{2 =} 

-10

EXTRA CHALLENGE:Properties of Exponents

100

What is the property for multiplying exponents?

Keep base and add exponents.

200

What is the rule for dividing exponents?

Keep base and subtract exponents.

300

What is the rule for negative exponents?

The base becomes the reciprocal with a positive exponent.

400

What is the rule for power of a power property?

Keep the base and multiply the exponents.

500

What is the rule for product to a power?

Distribute the power to all the bases.