Exponent Laws - Review

Exponents - General

100

3⁵

What is the base? What is the exponent?

Base = 3

Exponent = 5

200

What does an exponent do?

Multiplies the base times itself

300

what is the expanded form of 2³? Evaluate. 

2 x 2 x 2  = 8

400

What happens when an exponent is applied to a fraction? Evaluate (1/3)²

The exponent goes on both the numerator and denominator

1/9

500

Explain how you know whether the solution to a negative base with an exponent will be positive or negative. 

Ex. (-3)⁵

For negative bases:

even exponent --> positive solution

odd exponent --> negative solution

Exponent Laws

100

Can we use exponent laws for this?

(a²)(b⁴)

No - the bases are different

200

(x⁷)(x³)=

x¹⁰

300

a⁶ / a⁴

a²

400

(3x³)²

9x⁶

500

Evaluate (3/2)^-2

4/9

Multiplying/Dividing Monomials

100

(3a⁵)(4a²)

20a⁷

200

12x⁶ / 3x⁴

4x²

300

(3x⁷y⁴)²(xy²) 

9x¹⁵y¹⁰

400

Evaluate (2ab²)³(3a²b³)

24a⁵b⁹

500

(3x³y⁴)²(5x⁶y⁴) / 15(x²y)⁶

3y⁶

Scientific Notation

100

Scientific notation is used to represent very ______ or very _______ numbers. 

large/small

200

The number for scientific multiplication has to be _________. 

It's multiplied by a base which is always _____

one digit 1 - 9

base of 10

300

Write 1.23 x 10⁵ in standard notation

123, 000

400

Write 9.831 x 10^-6 in standard notation

0.000009831

500

Write 723 418 in scientific notation

7.23418 x 10⁵

Take a Chance

100

7²

49

200

Simplify: 8⁴(8³) / 8⁵

8²

300

(6520x³b⁴a⁶y²³)⁰

=1

400

(12x⁸y³)² / (3x¹⁰y)(4x⁶y⁵)

1

500

Write 0.000451 in scientific notation

4.51 x 10^-4