Lesson 1.67 E-Rules

Exponent Rules (Variable Base)

119

(x⁴y⁶)(x²y⁴)

x⁶y¹⁰

225

What do you do to the exponents (of the same base) when you are multiplying them?

Add them

350

a⁶b⁷/a³b⁵

a³b²

475

(4a²b³c⁴)²

16a⁴b⁶c⁸

600

(3m^-3n⁵)(5m⁷n^-2)

15m⁴n³

Exponent Rules (Variable Base)

119

(x^-7)(x⁴)

1/x³

225

What do you do to the exponents (of the same base) when you have a power of a power? (Sometimes called an "outside" )

Multiply them

350

(x³y²)⁹

x²⁷y¹⁸

475

(x^-4y²)³

y⁶/x¹²

600

10c⁵d⁴/5c⁷d⁸

2/c²d⁴

Exponent Rules (Integer Base)

119

Evaluate: 5⁵/5³

25

225

What do you do to the exponents (of the same base) when you are dividing them?

Subtract them

350

Solve: (2⁴)^-1

1/16

475

Solve: 3⁹/3⁹

1

600

Solve then put in Order from Least to Greatest:

a. (2³)^-2  b. (6²)(6) c. 4⁶/4²

{a.1/64, b.216, c.256}

Rational/Irrational; Square & Cube Roots

119

Definition of a Rational number?

Give one example:

What is

Rational numbers are real numbers that can be expressed in fraction form

5

225

 Square root of 16

What is 4

350

Definition of Irrational numbers

Give an example

What is:

Irrational numbers are real numbers that can not be represented as a fraction

6.025478329187...

475

Cube root of 27

What is 3

600

Multiply the square root of 81 times the cube root of 64

What is:

9 X 4 = 36

Random

119

Solve : 11² 

121

225

Solve : 125^3

5

350

 (A)repeating decimal w/example

 (B) terminating decimal

What is:

A. a decimal where a digit or digits repeat over and forever                        7.222...

B. a decimal that ends on an invisible zero

475

Identify the base and exponent 

25⁴

What is 

25 is the base

4 is the exponent

600

Simplify: 5²x^-4y⁵/z^-10

25y⁵z¹⁰/x⁴