Exponents Review

Simplifying Monomials

100

6ab - 8ab

-2ab

200

Simplify

-2xy²-4xy+6xy²

4xy²-4xy

300

Simplify

-7n^-4*5n^-2

-35/n^6

400

Simplify

(5v⁴)²*2v³*v

50v¹²

500

Simplify

(-4y³)²*(xy⁴)³+7x³y¹⁸

23x³y¹⁸

Exponent Rules

100

x^a-x^b=

x^a-b

200

(x^a)^b=

x^a*b

300

x^-a

1/x^a

400

x⁰=

1

500

What is this rule called?

x^a*x^b=x^a+b

Product Rule

Scientific Notation

100

Simplify

(8.6 x 10^-4)+(6.7 x 10^-5)

9.27 x 10^-4

200

Simplify

(3.5 x 10³) - (9 x 10¹)

3.41 x 10³

300

Simplify

(5.6 x 10⁴) x (4.5 x 10⁶)

2.52 x 10¹¹

400

Simplify

(3.9 x 10^-12) / (4 x 10⁴)

9.75 x 10^-17

500

The continent of North America has an area of approximately 9.4 x 10⁶ square miles.  The area of Asia is approximately 1.74 x 10⁷ square miles.  Approximately how many square miles larger is Asia than North America?

8 x 10⁶

Simplifying Radicals

100

sqrt (54)

3 sqrt (6)

200

sqrt (240)

4 sqrt (15)

300

sqrt (28x²⁵y⁸)

2x¹²y⁴ sqrt(7x)

400

sqrt(153a⁹b¹⁰c³)

3a⁴b⁵c *sqrt(17ac)

500

sqrt (361x⁹y¹⁶)

19x⁴y⁸*sqrt(x)

Cubed roots

100

cubed root of 27

or

27^1/3

3

200

cubed root of (80)

2 * 10^1/3

^{or 2* cubed root of (10)}

300

cubed root of (-500)

or

(-500)^1/3

-5*cubed root of 4

or

-5*(4)^1/3

400

cubed root of (384)

4*cubed root of 6

or 

4* (6)^1/3

500

cubed root of 648

or

(648)^1/3

6*cubed root of (3)

or

6*3^1/3