Chapter 1: Exponents

Operations with Exponents

100

Evaluate.

(6^2)^0

= 6^0 = 1

200

Evaluate.

(v^6)^3

v^18

300

Evaluate

2^6 x 2^3       /    2^5

2^4 or 16

400

Determine if the following equation is true.

(4^5)^5  = (4^10)^2

Yes

4^20= 4^20

500

Determine if the following equation is true.

m^3 x m^5    /    m^2      =  m^4/m^0

Not true

m^6 does not equal m^4

Negative Exponents

100

Evaluate.

3^4 / 3^9

1/ 3^5 or 1/243

200

Evaluate.

(k^-10) (k^-2)

k^-12

300

Evaluate.

(m^-3)^5       /     m^5

1/m^20

400

Determine of the following equation is true.

(j^2)^-5 = j^10/ j^2

Not true

j^-10 does not equal j^8

500

Determine if the following equation is true

8^-5 x 8^6 = 8^0 x 8^1

Yes

8=8

Negative Exponent Operations

100

Evaluate.

4^6 / 4^-2

4^8 or 65,536

200

Evaluate.

(j^3)^-2 x j^6

j^0 = 1

300

Determine the appropriate exponent to make the equation true.

p^5/p^-5    =   ( p^2 ) ^?

?=5

400

Determine the appropriate exponent to make the equation true.

2^-10 x 2^2 = 2^-4 x 2^?

?=-4

500

Determine the appropriate exponent to make the equation true.

f^0 / f^-7     =  f^14 / f^?

?=7

Scientific Notation and Appropriate Units

100

Would the weight of a strand of hair, about 6.9 x 10^-5 grams, be best expressed using TONS, POUNDS, or MILLIGRAMS?

Milligrams

200

Would the area of the city of Charleston, about 24.9 x 10^11 square centimeters, be best expressed using SQUARE KILOMETERS, SQUARE METERS, or SQUARE MILLIMETERS?

MILES just kidding

Square kilemeters

300

Write the following number in scientific notation.

810,000,000,000

8.1 x 10^11

400

Write the following number in standard form.

3.1 x 10^-7

0.00000031

500

Write the following number in scientific notation.

0.00000027

2.7 x 10^-7

Scientific Notation Operations

100

Compute the exact answer. Give your answer in scientific notation

6.2 x 10^-6 + 0.000003

Hint: Convert the second number first.

9.2 x 10^-6

200

Compute the exact answer. Give your answer in scientific notation.

4.2 x 10^7 - 30,000,000

1.2 x 10^7

300

4.8 x 10^3   /   4 x 10^6

1.2 x 10^-3

400

ESTIMATE. Give your answer as a single digit times a power of ten.

In the United States, there are approximately 300,000,000 people that use a total of about 360,000,000,000 gallons of water in a day. How much water does each person use?

About 1 x 10^3 gallons of water each day

500

Estimate, give your answer as a single digit times a power of ten.

There were 10,700,000 Mac computers sold in 2008. If Mac earns about $200 proft per computer sold, how much profit did the company make selling computers in 2008.

~ $4 x 10^9 profit