Integer Exponents
Properties of Exponents
Properties of Exponents (cont.)
Scientific Notation
Operating with Scientific Notation
100
What is 10^-2?
1/100 or .01
100
What is 6^6 x 6^3?
6^9
100
What is x^10 / x^9?
x
100
What is 1.35 x 10^5?
135,000
100
New York County in New York had a population of about 1.54 ?x10^6 people in 2000. Erie County had an population of about 9.5 ?x 10^5 people. Find the approximate combined populations of New York and Erie counties in 2000.
2.49 x 10^6 people
200
What is 10^-1?
1/10 or 0.1
200
What is n^5 x n^7?
n^12
200
What is (5^4)^2?
5^8
200
What is 2.7 x 10^-3?
0.0027
200
An adult blue whale can eat 4.0 ?x 10^7 krill in 1 day. At that rate, how many krill could an adult blue whale eat in 3.5 ?x 10^2 days?
1.4 x 10^10 krill
300
What is 5^-3?
1/125
300
What is 2^5 x 2?
2^6
300
What is (6^7)^9?
6^63
300
What is 2.01 x 10^-4?
0.00021
300
If there are 8.4 ?x 10^3 tiny insects living in each square foot of a field and the field has 6.72 ?x 10^2 square feet, how many insects are living in the field?
5.6448 x 10^6 insects
400
What is (-10)^-3?
-1/1000 or -0.001
400
What is 24^4 x 24^4?
24^8
400
What is ((2/3)^12)^-3?
(2/3)^-36
400
What is 0.00709 in Scientific Notation?
7.09 x 10^-3
400
A corporation has 4.8 x 10^3 employees. The average annual salary for each of its employees is $4.5 ?x 10^4. Approximately how much does the corporation pay its employees each year?
$2.16 x 10^8
500
What is 5 - (6 - 4)^-3 + (-2)^0?
5 7/8
500
What is 7^5 / 7^3?
7^2
500
What is (17^2)^-20?
17^-40
500
What is the Scientific Notation of the length of 10,000 pencils that are 18.7 cm long if they are laid end-to-end?
The 10,000 pencils would be 1.87 x 10^6 mm long, laid end-to-end.
500
Jeffrey takes 2.4 ?x 10^4 steps during a long-distance run. Each step covers an average distance of 8.1 ?x 10^2 mm. What total distance did Jeffrey cover during his run?
1.944 x 10^7 mm