Unit 3 Test

Laws of Exponents

100

In the example:  -5g⁴  label the exponent, base, and coefficient. 

Exponent: 4

Base: g

Coefficient: -5

200

-3x⁴ • 4x⁴  = 

 

-12x⁸

300

6m⁶p⁴ / 2m²p³

3m⁴p

400

5b⁰

5

500

(5b⁵ / 2b^-3 ) ^-2

4 / 25b¹⁶

Scientific/Standard Form

100

Write 0.00341 x 10⁴  in the correct scientific notation form 

3.41 x 10¹

200

There are 812,000 gallons of water in an olympic training center's pool. Express this number in scientific notation.

8.12 x 10⁵

300

What is 4.9 × 10^-3 in standard form?

0.0049

400

(2.3 x 10^-3)(3 x 10⁸)

6.9 x 10⁵

500

Order from Least to Greatest 

1.9 × 10⁴

5.68 × 10^–3

 5.72 × 10^-3

3.3 × 10^-1 

5.68 × 10^–3

5.72 × 10^-3

3.3 × 10-1 

1.9 × 10⁴

Squares, Cubes, Roots

100

What's the cube of 9? 

729

200

What is the negative square root of 49? 

-7

300

What is the square root of -25? 

Does not exist 

400

Approximate the negative square root of 56. 

-7

500

A square porch has an area of 225 square feet. What is the length one side of the porch AND the perimeter? 

15ft, 60ft

Mixture

100

x⁸ / x^-3

x¹¹

200

What does LARS stand for and when do you use it? 

Left, Add, Right, Subtract. You use it when you have to alter a scientific notation answer to put it in correct form. 

300

(2p^-3b⁴)³

8b¹² / p⁹

400

3.2 x 10^-8 / 5.4 x 10⁵   

If needed, round your final answer to the nearest tenth

5.9 x 10^-14

500

Approximate +- cube root of 490

8 , -8