Unit 3 Test Review

Unit 3 Test Review

TESTING ITEMS

• Multiplying

• Dividing

• Power of Products

• Negative exponents

• Scientific Notation/Standard Form

LAWS OF EXPONENTS

MULTIPLYING

Multiple Choice

 $\left(x^3\right)\left(x^5\right)\left(x^{10}\right)$  

•  $x^{-12}$  

•  $18x$  

•  $x^{18}$  

•  $x^{150}$  

Multiple Choice

 $-4m^3\left(9m^3\right)$  

•  $-36m^6$  

•  $-36m^9$  

•  $5m^3$  

•  $36m^9$  

Multiple Choice

Simplify (-4r⁵)(2r⁸)

• -8r¹³
• -2r¹³
• -8r⁴⁰
• -2y⁴⁰

Multiple Choice

Multiplication Law states: keep the base the same and do this to the exponents.

• multiply
• add
• subtract
• divide

LAWS OF EXPONENTS

DIVIDING

Multiple Choice

• A

• B

• C

• D

Multiple Choice

• x¹¹

• x¹⁸

• x⁷y

• x⁷

Multiple Choice

• 7

• 14

• 49

• 2

Multiple Choice

Division Law states: keep the base the same and do this to the exponents.

• multiply
• add
• subtract
• divide

POWER OF PRODUCTS

Multiple Choice

Simplify:
(3t²)³

• 9t⁶
• 9t⁵
• 27t⁶
• 27t⁵

Multiple Choice

Solve (hint: there's more than 1 law you must obey)

• x²⁸y¹² / x²y
• x²⁸y¹² / x⁸y⁴
• x²⁰y⁸

Multiple Choice

(y⁹)^-2

• y¹⁸
• y¹¹
• 1/y¹⁸
• y⁹/2

Multiple Choice

(2ab)³

• 2³a³b³
• 2ab³
• 6a³b³
• 6ab

Multiple Choice

Power to a Power Law states: keep the base the same and do this to the exponents.

• multiply
• add
• subtract
• divide

NEGATIVE EXPONENTS

Multiple Choice

Simplify.
2x^-5y⁷⋅3x^-4y^-2

• 6x⁹y⁹
• 6y⁵/x⁹
• 6/x⁹y⁵
• 6/x⁹y⁹

Multiple Choice

Rewrite using a positive exponent.
g^-7

• ¹/_g⁷
• g⁷
• ¹/_g^-7
• -g⁷

Multiple Choice

Rewrite using a positive exponent.
7^-10

• ¹/_7¹⁰
• 7¹⁰
• ¹/_7^-10
• -70

WRITING IN SCIENTIFIC NOTATION

Multiple Choice

Write 6,700 in scientific notation.

• 6.7 x 10³
• 6.7 x10^-3
• 67 x 10²
• 67 x 10^-2

Multiple Choice

Write 0.000972 in scientific notation.

• 9.72 x 10^-4
• 9.72 x 10^-3
• 972 x 10^-4
• 9.72 x 10⁴

Multiple Choice

If the exponent is a negative number the original number was...

• a really large number.

• a really small number.

Multiple Choice

If the exponent is a positive number the original number was...

• a really big number.

• a really small number.

Multiple Choice

Convert to scientific notation:

520,000,000

• 52 x 10⁷

• 5.2 x 10^-7

• 5.2 x 10⁸

• 0.52 x 10⁹

Multiple Choice

Express the following in scientific notation:
.000457

• 457 x 10⁶
• 457 x 10^-6
• 4.57 x10⁴
• 4.57 x 10^-4

Multiple Choice

How would you write 0.0005 in scientific notation?

• 50 x 10^-5

• 5 x 10^-4

• 5 x 10³

• .5 x 10³

WRITING IN STANDARD FORM

Multiple Choice

How would you write 5.6 x 10^-3 in standard form?

• 56,000

• 5,600

• 0.00056

• 0.0056

Multiple Choice

Convert to standard notation:
3.05 x 10⁵ 

• 305,000
• 305
• 3,050,000
• 30,500

Multiple Choice

How do you write
8.317 x 10⁶
in standard form?

• 8, 371, 000
• 83, 170, 000
• 837, 100
• 8, 317, 000

Multiple Choice

The rule of scientific notation is to write all exponents with a base of ____.

• 50
• 5
• 100
• 10

Multiple Choice

When writing a number in scientific notation, the first number must be greater than 1, but less than 10.

• False
• True

Multiple Choice

How would you write 4.3756 x 10⁴ in standard form?

• 437,560,000
• 0.00043756
• 43,756
• 4,3756

Multiple Choice

Convert to standard notation:
2.4 x 10^-3 

• 2400
• 0.24
• 0.024
• 0.0024

Multiple Choice

How do you write
8.317 x 10⁶
in standard form?

• 8, 371, 000
• 83, 170, 000
• 837, 100
• 8, 317, 000