1. –(6)–1
(1 pt) -1/6
2. (–7.4)0
(1 pt) 1
3. –1 over y^–4
(1 pt) –y4
4. 63 × 610
(1 pt) 613
5. Simplify this expression. (3)10(3)–9
(1 pt) 3
6. (q9)2
(1 pt) q18
7. (6q6)–4
(1 pt) 1/1,296q^24
8. What is the value of 11 x superscript negative 3 baseline y superscript negative 1 baseline for x equals negative 1 and y = 2?
1 pt) -11/2
9. (t–4)–9t2
(1 pt) t38
10. (2/5n^9)^2 (1 point)
(1 pt) 4/25n^18
11. Determine if the number is written in scientific notation. If not, explain 2.01 x 10-5.
(1 pt) Yes; the number is written in scientific notation.
12. What is the order of 1.5 × 103, 1.4 × 10–1, 2 × 103, and 1.4 × 10–2 from least to greatest?
(1 pt) 1.4 × 10^–2, 1.4 × 10–1, 1.5 × 103, 2 × 103
13. Find the simplified form of the expression. Give your answer in scientific notation. (3 × 106)(8 × 10–4)
(1 pt) 2.4 × 103
14. Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approximately 5.88 × 10^12 miles. Suppose a star is 9.8 × 10^1 light-years from Earth. In scientific notation, approximately how many miles is it?
(1 pt) 5.76 × 1014 miles
15. A dinosaur fossil is 92,170,000 years old. How can you express this age in scientific notation with the highest level of precision?
(1 pt) 9.217x10 ^7 baseline
16. Radio signals travel at a rate of 3 × 10^8 meters per second. How many seconds would it take for a radio signal to travel from a satellite to the surface of Earth if the satellite is orbiting at a height of 4.2 × 10^7 meters?
(1 pt) 1.4 × 10–1 seconds
17. Does the table represent an exponential function?
x 1 2 3 4
y 4 16 64 256
(1 pt) yes
18. Does the rule y = –3x5 represent an exponential function? (1 point)
(1 pt) no
19. Choose the correct graph of the function y=-8(2*).
(1 pt) A
20. Choose the correct graph of the function y=1/5(3*)
(1 pt) B
21. In an appropriate environment, guppies reproduce at an astounding rate. A population of breeding guppies doubles every 2 months. How many guppies will there be after 6 months if the beginning population is 180 guppies?
(1 pt) 1,440 guppies
22. The amount of algae in a fish tank doubles every day. Initially, the tank has 20 grams of algae in it so that the function y=20(2*) models the amount of algae in the bowl after x days. Which graph represents this function?
(1 pt) D
23. A $4,000.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account?
(1 pt) $4,862.03
24. A boat costs $92,000.00 and depreciates in value by 15% per year. How much will the boat be worth after 10 years?
(1 pt) $18,112.45