Exponent Rules
Give an example of the product rule.
x2 x x3 = x5
Simplify: 6ab - 8ab
-2ab
Simplify: (8.6 x 10 -4)+(6.7 x 10-5)
9.27 x 10 -4
What is the exponential growth function?
y = a (1+ r)t
31. Given the sequence {-2,6, -18, ...} write a rule, then find a8
a8= -2 (-3)7
4,374
Give an example of the Quotient Rule
x5 / x2 = x3
5. (5v4)2 x 2v3 x v
50v12
21. (7.6 x 10-7) x (8.9 x 10-2)
6.764 x 10-8
What is the exponential decay function?
y = a (1-r)t
32. Given the sequence {6144, 3072, 1536, ...}, write a rule, then find a15
a15 = 6144(1/2)14 = 0.375
Give an example of the Power Rule.
(x3)4 = x12
9. (-3x6)2 / (5x3 )(3x3)
3/5 x6
22. (3.9 x 10 -12) / (4 x 1012)
9.75 x 10-17
28. A population of a city is 422,000 and increases by 12% each year. Use an exponential function to find the population of the city after 8 years.
1,044,856 people
43. What is the cube root of 80?
2 (cube root of 10)
11. 7k-8 (3k-2)/ 6k2
7/ 2k12
(1.75 x 105) / (5 x 10-3)
3.5 x 107
29. A car bought for $13,000 depreciates at 15% per year. Use an exponential function to find the value of the car after 5 years.
$5768.17
40. What is the square root of (200m4n)
10m2(square root of 2n)
How do you simplify: 3-2
1/9
14. (3/4 m7 n6 )(m5n9) - (1/2 m4n5)3
5/8 m12n15
24. 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 107square miles. Approximately how many square miles larger is Asia than North America?
8 x 106
30. Scott purchased a painting in 2006 for $1,250. Since then, its value has increased by 6% each year. Use an exponential function to find the value of the painting in 2017.
$2372.87
36. What is the square root of 240?
4 (square root of 15)