Exponents & Scientific Notation Review

Zero & Negative

100

h⁰

1

200

(7x⁴y²)⁰

1

300

x^-2

1/x^2

400

(a^2b^-4)/(c^-1d^5)

(a^2c)/(b^4d^5)

500

6x^-3y⁰z⁴

(6z^4)/x^3

Multiply & Divide

100

m^4n^3*m^4n^5

m⁸n⁸

200

(x^9y^6)/(x^4y^2)

x⁵y⁴

300

4x^9*7x

28x¹⁰

400

(10a^11b^9)/(5ab^9)

2a¹⁰

500

(3y^-1*4y^5)/(2y^-2

6y⁶

Exponent Combos

100

(6x²y³)²

36x⁴y⁶

200

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

(4x^6)/y^4

300

(7x^5y^8)^0/8

1/8

400

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

y^2/x^2

500

(4a^-2b^5c^-1)/(6a^2b^0c^-1)

(2b^5)/(3a^4)

Scientific Notation

100

Is it written correctly?

45.2 x 10⁵

NO

200

Is it written correctly?

3 x 10^-4

YES

300

Is this number big or small?

8.3 x 10^-7

SMALL

400

Write it in scientific notation:

412,000,000

4.12 x 10⁸

500

Write it in scientific notation:

0.000071

7.1 x 10^-5

SC READY REVIEW

100

Rational or Irrational:

sqrt(256)

Rational, because 

sqrt(256)=16

200

Could these numbers be the sides of a right triangle?

17, 8, 15

Yes

8² + 15² = 17²

300

What is the sum of the 3 angles in a triangle?

(what do they add up to?)

180 degrees

400

Solve:

4x + 18 = -x + 33

x = 3

500

Solve the system:

 x + 3y = 8

2x - 3y = -11

(-1, 3)