Exponents!!!!

Multiplication properties

100

3^{2 x} 3⁴

729

200

5³ x 5²

3,125

300

2³)⁴

4096

400

(3x²y)⁰

1

500

Write in expandead form: 9^6

9x9x9x9x9x9

Divison property of exponents

100

x^5/x^2

 X^5-2= x²

200

a^7/a^3

a^7-3= a⁴

300

m^9/m^4 X m^2/m

m^{9-4 X} m^2-1= m⁵ X m¹= m⁶

400

b^6/b^4 x b^2/b

B^6-4 X b^2-1 = b² X b^{1 =} b³

500

x^20/x^16 X x^10/x

x^4 X x^9= X⁴⁺⁹=x^13

Adding exponents

100

3x^2+5x^2

8x^2

200

4a^3+2a^3+7a^3

13a^3

300

6m^2+3m-2m^2

4m^2+3m

400

8x^4+3x^2+x^4-x^2

9x^4+2x^2

500

5y^3+2^y+7y^3+6y-y

12y^3+7y

Negative Exponetes

100

x^-1

1/x

200

a^-3

1/a^3

300

1/y^-2

y^2

400

x^-4/x^-1

1/x^3

500

(2a^-2b^3)^-1

A^2/2b^3  B^3 is with the dominator 

Compound interest

100

You invest $1000 at 5% interest compounded yearly. For 2 years.

$1,102.50

200

$800 invested at 4% interest componded quarterly for 1 year

$832.48

300

$1200 invested at 6% interest compoun monthly for 3 years 

$1,436.02

400

You deposit $1500 at 3% interest compouded daily for 2 years.

$1,592.75

500

$2000 at 7% interest compounded semiannually for 4 years.

$2,633.62