Properties of Exponents

Product and Quotient of Powers

100

Simplify (2²) (2⁵)

128

200

Simplify (6⁸)/(6⁶)

36

300

Simplify (r³s⁴) (s²t²)

r³s⁶t²

400

Simplify (a⁸)/(a¹⁷)

a^-9 or 1/(a⁹)

500

Simplify (4⁵e⁴f³) (4^-5e^-6f^-1)

(f²)/(e²)

Power of a Power

100

Simplify (4²)²

256

200

Simplify (u¹²)²

u²⁴

300

(q¹⁰)⁰

1

400

Simplify (x^-18)³

1/x⁵⁴

500

Simplify: ((x⁸)²))³

s⁴⁸

Power of a Product and Power of a Quotient

100

Simplify (a³b⁶)⁴

a¹²b²⁴

200

Simplify (3a / 7b)²

(9a²) / (49b²)

300

Simplify (df)² (gh)⁵

d²f²g⁵h⁵

400

Simplify (p⁵/r⁷)⁹

p⁴⁵/r⁶³

500

Simplify (4m⁶n¹⁴)/(2m³n²)^-3

32m¹⁵ n¹⁰

Exponents Fun

100

-3²

-9

200

(-3)²

9

300

-3x^-2

-3 / x²

400

(2/3)^-2

9 / 4

500

(3x²)⁰ (4x³)⁰

1

Scientific Notation, Exponential Growth and Decay

100

Change to standard form: 2.3 x 10⁵

230,000

200

A negative exponent tells you what about the number in standard form?

That it is really small or less than 1.

300

The value of a new car decreases exponentially at a rate of 15% per year. A new has an initial value of $24,000. What is the value of the car after 5 years?

Value of the car after 5 years: $10,648.93

400

Thew population of a town is 45,647. It has been growing at a rate of 2.8% each year. What is the new population predicted top be in five years?

(round to nearest whole number)

52,406

500

Bob opened a checking account that pays 2% annual interest. What is the balance he will earn after 3 years if he deposited $500 in the account?

Round to the nearest penny.

$530.60