Exponents Unit Review

Scientific Notation

100

Scientific Notation is used for what...

Writing extremely big or small numbers in a simple and short way.

200

Is the following a really big or really small numbers?

3.4 x 10^-30

Very small.

300

Tell me what this number would be in standard form.

3.5 x 10³

3,500

400

Write this in proper scientific notation:

27 x 10¹⁴

2.7 x 10¹⁵

500

Write this number in standard form:

2.5 x 10^-5

0.000025

Power/Product Rule

100

(x⁴)(x⁵)

x⁹

200

(x⁷)³

x²¹

300

(2x³)²

4x⁶

400

(4x²y⁴)(-3x⁵y⁷)

-12x⁷y¹¹

500

(3a¹¹)³

27x³³

Quotient Rule

100

x¹¹ / x⁵

x⁶

200

x³ / x^-7

x¹⁰

300

15x³ / 3x^-7

5x¹⁰

400

4x³y⁴ / 8xy⁴

Simplify the fraction.

(1/2)x²

500

21a³b⁴ / 7a⁵b²

Give answer as a fraction with negatives put in the proper place.

3b² / a²

Exponential Growth

100

Give on example of exponential growth that we have discussed.

Investments, rabbits, microbes, etc.

200

What is the difference between exponential growth and decay?

Growth is an increase, decay is a decrease.

300

What is the word for the decrease in value that occurs for assets like cars?

Depreciation.

400

What is one way to ensure that your money is compounding, and you can have oodles of money when you are an old person? 

Savings Account, Stocks, Bonds, Money Market... any reasonable answers honestly, I hope you guys learn this early!

500

Use the exponential growth function to find the following:

An initial investment of $2000 with 7% interest for 10 years.

~$3934

Wild Card

100

What was New Hampshire's logo and iconic and scenic mountainside anomaly which tragically collapsed many years ago?

Old Man on the Mountain

200

(2x⁵)³

8x¹⁵

300

This founding father, who was actually never the President, invented many things including the Lightning Rod! He can also be seen on the front of the 100 dollar bill.

Benjamin Franklin

400

Put the following in Scientific Notation:

3,000,000

3.0 x 10⁶

500

x³ = 125

Solve for x.

x = 5