Unit 6-Exponents Review

Zero Exponents

100

2⁰

1

200

8x⁰

8

300

7/8^0

7

400

-5(-3x^2)^0

-5

500

(9*(8x^4))/3

3

Negative Exponents

100

x^-2

1/x^2

200

3/x^-4

3x^4

300

5x^-2y^9

(5y^9)/x^2

400

(7x^4y^-7)/(2z^-3)

(7x^4z^3)/(2y^7)

500

(2x^3y^-2)^-2

y^4/(4x^6)

Multiply Like Bases

100

x^3*x^7

x^10

200

3x^4*2x^6

12x^10

300

(-x^4y^3)(5x^7y^2)

-5x^11y^5

400

-x*5y^3*6x^-3*2y^4

(-60y^7)/x^2

500

(-5xy^2)(3x^-3y^-5)

-15/(x^2y^3)

Scientific Notation

100

Write in scientific notation:   12,500

1.25xx10^4

200

Write in standard form:   6.1xx10^-4 

0.00061

300

Write in standard form:   0.135xx10^-5 

0.00000135

400

Write in S.N.:   (4xx10^3)(1.5xx10^4) 

6xx10^7

500

Write in S.N.:   (3xx10^5)^3 

2.7xx10^16

Power to Power

100

(x^3)^2

x^6

200

(x^9)^-2

1/x^18

300

((x^5)^2)^3

x^30

400

(-2x^7y)^5

-32x^35y^5

500

5x^2(2x^3)^-4

5/(16x^10)

Divide Like Bases

100

4^12/4^7

4^5

200

6^3/6^-7

6^10

300

(x^2y^9)/(x^3y^-1)

y^10/x

400

Write in S.N.:   (8xx10^9)/(3.2xx10^13) 

2.4xx10^-4

500

((2x^3)/x^5)^3

8/x^6

MIXED

100

(x^2*x^4)^3

x^18

200

((2xy)/5)^3

(8x^3y^3)/125

300

((-4x^2)(3x^-3))/(6x)

-2/x^2

400

((3x^-2y^8)/(4xy^-3))^2

(9y^22)/(16x^6)

500

(-3x^-1)^3(2xy^4)^-1

-27/(2x^4y^4)