+ All Categories
Home > Documents > Exponent properties

Exponent properties

Date post: 20-Jun-2015
Category:
Upload: cinnaminson-public-schools
View: 2,142 times
Download: 0 times
Share this document with a friend
Popular Tags:
12
Exponent properti es
Transcript
Page 1: Exponent properties

Exponent properties

Page 2: Exponent properties

Do Now1. x5(x3)

2. x8 / x5

3. x3 + x3

4. 7x2 – 3x2

5. (x2)3

1. x8

2. x3

3. 2x3

4. 4x2

5. x6

Page 3: Exponent properties

Adding and Subtracting Variables

with ExponentsWhen adding or subtractingvariables with exponents, variables must have the same base and exponent.

Page 4: Exponent properties

Examples1. x2 + x2 = 2x2

2. 5x2 - x2 = 4x2

• Notice how the base and exponent always stay the same. You only change the coefficient when adding or subtracting.

Both x

x2 + x2 + x2 + x2 + x2 – x2 = 4x2

Page 5: Exponent properties

Multiplying Variables with Exponents

When multiplying variables withexponents, you must add the

exponentstogether. Coefficients are multiplied.

Page 6: Exponent properties

Examples

1. x4(x3) = x7

2. 5x7(x2) = 5x9

x·x·x·x·x·x·x = x7

5x7+2 = 5x9

Page 7: Exponent properties

To divide variables with exponents, you must subtract the bottom

exponent from the top exponent, and divide the coefficients.

Dividing Variables With Exponents

Page 8: Exponent properties

Examples1. 2x3 2. x2 = x-3 = 1

x2 x5 x3

2 • x • x • x = 2x

x•x

Page 9: Exponent properties

Powers of PowersWhen simplifying powers of powers, you must distribute the exponent to

the coefficient and variable’s exponent. Multiply the exponents.

Page 10: Exponent properties

Examples(2a2)3

23(a2)3

8a2(3)

8a6

Page 11: Exponent properties

Examples (cont.)

*Remember to only distribute the exponent to what is in the

parentheses.Example:

5(x4)3 = 5x12

Page 12: Exponent properties

Exit SlipSimplify.

1. 7x3-3x3

2. 6x2

3x3

3.(4x5)2

4. x2+2x2

5.8x3(4x3)

1.4x3

2.2x2

3. 16x10

4. 3x2

5. 32x6


Recommended