Exponents and Scientific Notation Test Review

Exponents 1

100

True or false: (23⁴)³=24⁷

False

200

True or false: 30⁴ x 30⁰=30⁰

False

300

Simplify: (3⁵)⁶

3³⁰

400

Simplify: f¹⁵ /f¹¹

f⁴

500

Simplify b^-3

1/b³

Exponents 2

100

(f⁵ x f⁷)/(f³)

f⁹

200

(f^-7 x f²)/(f³)³

1/f¹⁴

300

What is the value of x:

(a³b⁶)⁴ = (a¹²b^x)

x=24

400

Find the value of x needed to make this true:

(f⁵ x f⁷)/(f³) = f^x x f⁴

x = 5

Square and Cube Roots

100

cube root of 729

9

200

square root of 289

17

300

Which is greater, x or y?

x²=49

y³=125

x = 7

400

What is the side length of a CUBE with a volume of 216in³?

6 in

Scientific Notation 1

100

Write in standard form:

5.26 x 10³

5,260

200

Write in scientific notation:

0.0000005

5 x 10^-7

300

Write in scientific notation:

32,540,000

3.254 x 10⁷

400

Solve in either form:

0.00065 + (2.1 x 10^-4)

0.00086 or 8.6 x 10^-4

500

How many times greater is 3.6 x 10³ than 20?

1.8 x 10²

Scientific Notation 2

100

(7.5 x 10⁷)/(5 x 10⁴)

1.5 x 10³

200

(9.5 x 10²)(2 x 10⁴)

1.9 x 10⁷

300

There is a group of 30 pandas. Each panda weighs 3.4 x 10³ kilograms. Find the total weight of all 30 pandas.

1.02 x 10⁵ or 102,000 kg

400

Estimate the value of 402 in scientific notation 

(ex. 8 x 10⁴, 3 x 10⁷)

4 x 10²

500

Estimate the value of 806,240 in scientific notation 

(ex. 9 x 10⁴, 3 x 10⁷)

8 x 10⁵