Chapter 4 Test Review

Powers & Exponents

100

Write 8 x 8 x 8 x 8 x 8 with exponents.

8⁵

200

Write with exponents:

4 x 4 x 4 x a x a x a x b

4³ x a³ x b

300

Write with exponents:

(x + 2)(x + 2)(x + 2)

(x + 2)²

400

Evaluate if y = 3

y⁴ + 9

90

500

Evaluate if x = -2 and z = 2.5

z² + x

4.25

Negative Exponents

100

Express as a positive exponent:

6^-2

1 / 6²

200

Express as a negative exponent:

1 / 2⁶

2^-6

300

Express as a negative exponent other than 1.

1/9

3^-2

400

Evaluate if x = 4

x^-3

1/64

500

Evaluate if x = -4 and y = 2

3^x

1/81

Multiply & Divide Exponents

100

Simplify with exponents: 

5^-6 x 5⁹

5³

200

Simplify with exponents:

r⁸ / r⁴

r⁴

300

Simplify with positive exponents:

c^-7 ÷ c²

1/ c⁹

400

Simplify:

4m²n x 2m⁵n³

8m⁷n⁴

500

Simplify:

45a⁹b³ ÷ 9a⁵b

5a⁴b²

Scientific Notation

100

Express the following in Standard Form:

7.924 x 10⁴

79,240

200

Express in Scientific Notation:

82,000,000

8.2 x 10⁷

300

Express in Standard Form:

2.3 x 10^-5

0.000023

400

Express in Scientific Notation:

0.006752

6.752 x 10^-3

500

Is this in correct standard form? If not, correct it:

13.52 x 10⁵

1.352 x 10⁶

Square Roots

100

Evaluate:

√25

5

200

Evaluate:

-√81

-9

300

Evaluate:

√-85

No Solution 

400

Estimate:

√18

4.24

500

Estimate:

√130

11.40