Math 8SL Unit 2 Review

Zero/Negative Rule

100

Simplify with only positive exponents:

3⁰

1

200

Simplify with only positive exponents:

12^-4

1/12⁴

300

Simplify with only positive exponents:

9⁰*4^-2

1/4²

400

Simplify with only positive exponents:

a⁰ x 1/b^-2

b²

500

Simplify with only positive exponents:

y²*y^-2*a⁰*b^-3

1/b³

Product Rule

100

Simplify with only positive exponents:

2^4*2^2

2^6

200

Simplify with only positive exponents:

3^8*3^-3

3^5

300

Simplify with only positive exponents:

5x^4*7x^3

35x^7

400

Simplify with only positive exponents:

(-9k^3)(2k^-8)

-18/k^5

500

Simplify with only positive exponents:

(-7c^-3d)(-4c^8d^-2)

(28c^5)/d

Quotient Rule

100

Simplify with only positive exponents:

4^12/4^4

4^8

200

Simplify with only positive exponents:

3^5/3^12

1/3^7

300

Simplify with only positive exponents:

(((-2)^-2)(3^16))/(((-2)^4)(3^2))

3^14/(-2)^6

400

Simplify with only positive exponents:

(28xy^-4)/(4x^-5y)

(7x^6)/y^5

500

Simplify with only positive exponents:

(-21x^5y)/(12x^6y)

-7/(4x)

Power Rule

100

Simplify with only positive exponents:

(x^9)^3

x^27

200

Simplify with only positive exponents:

(cd^2)^4

c^4d^8

300

Simplify with only positive exponents:

(4^-2)(2^8)^3

2^24/4^2

400

Simplify with only positive exponents:

(4w^7)^3

64w^21

500

Simplify with only positive exponents:

(1/3r^2s^-5)^2

r^4/(9s^10)

Multiplying & Dividing Scientific Notation

100

Simplify and write your answer in scientific notation:

(9xx10^-4)(4xx10^10)

3.6xx10^7

200

Simplify and write your answer in scientific notation:

(16xx10^5)/(8xx10^3)

2xx10^2

300

Simplify and write your answer in scientific notation:

(5.2xx10^-4)-:(8xx10^-7)

6.5xx10^2

400

Simplify and write your answer in scientific notation:

(9.8xx10^4)(7.5xx10^-3)

7.35xx10^2

500

Simplify and write your answer in scientific notation:

(3xx10^7)-:400,000

7.5xx10^1

Adding & Subtracting Scientific Notation

100

Simplify and write your answer in scientific notation:

(2xx10^3)+(7xx10^3)

9xx10^3

200

Simplify and write your answer in scientific notation:

(5xx10^6)-(3xx10^6)

2xx10^6

300

Simplify and write your answer in scientific notation:

(3.8xx10^-5)-(9.4xx10^-7)

3.706xx10^-5

400

Simplify and write your answer in scientific notation:

Find the sum of  1.6xx10^2  and  9.2xx10^5 .

9.2016xx10^5

500

Simplify and write your answer in scientific notation:

(4xx10^-3)-(9.8xx10^-5)

3.902xx10^-3