PA - AR.EE.1 Test Review

Exponent Basics

100

In the expression

8^5

, identify the base and the exponent.

Base = 8

Exponent = 5

200

Write 6 x 6 x 6 x 6 using an exponent

6^4

300

Evaluate 

(-3)^3 

-27

400

Evaluate 

-4^2

-16

500

Evaluate using Order of Operations

5 + 2(3^2) - 4

19

Product of Powers

100

Simplify

x^3 *x^4

x^7

200

Simplify

5^6*5^2

5^8

300

Simplify

m^4*m^7*m^2

m^13

400

Simplify and Evaluate

(-2)^3*(-2)^5

(-2)^8

= 256

500

Simplify Completely

3x^4y^2*5x^3y^6

15x^7y^8

Powers on Powers

100

Simplify

(x^3)^2

x^6

200

Simplify

(y^4)^5

y^20

300

Simplify 

(3x)^2

9x^2

400

Simplify 

(2a^3)^4

16a^12

500

A cube has a side length of

3x^2 

 units. Write and simplify an expression for its volume.

(3x^2)^3 = 27x^6

Quotient of Powers

100

Simplify

x^8 / x^3

x^5

200

Simplify 

7^12/7^5

7^7

300

Simplify 

(m^11m^4)/m^7

m^8

400

Simplify 

a^10/a^4*a^8/a^3

a^11

500

Simplify Completely

((x^5)(x^8))/x^4÷x^3

x^6

Zero & Negative Exponents

100

Evaluate 

12^0

1

200

Rewrite using a positive exponent

x^-4

1/x^4

300

Evaluate 

2^-3

1/8

400

Simplify using only positive exponents.

x^3/x^8

1/x^5

500

Simplify completely using only positive exponents: 

(x^-2y^5)/(x^3y^-2)

y^7/x^5