Exponents in Exponential Functions Unit Test

1. Simplify \(-1/y^{-4}\).
- A. \(-4/y\)
- B. \(y^4\)
- C. \(-4y\)
- D. \(-y^4\)

2. Simplify \(6^3 \times 6^{10}\).
- A. \(36^{13}\)
- B. \(6^{13}\)
- C. \(6^{30}\)
- D. \(18^{30}\)

3. Simplify \((5)^{-5}(5)^7\).
- A. \(1/25\)
- B. \(25\)
- C. \(10\)
- D. \(5^{-35}\)

4. Simplify \((t^8)^2\).
- A. \(2t^{16}\)
- B. \(t^{10}\)
- C. \(t^{16}\)
- D. \(t^{64}\)

5. Simplify \((5t^3)^{-4}\).
- A. \(625/t^{12}\)
- B. \(20/t^7\)
- C. \(1/625t^{12}\)
- D. \(20t^7\)

6. What is the value of \(13 \times (-3y^{-1})\) for \(x = -1\) and \(y = 4\)?
- A. \(-13/4\)
- B. \(-53\)
- C. \(-4/13\)
- D. \(-156\)

7. Simplify \((y^{-5})^{-10}y^{10}\).
- A. \(y^{-60}\)
- B. \(y^{60}\)
- C. \(y^{-150}\)
- D. \(y^{150}\)

8. Find the simplified form of \((2/5n^9)^2\).
- A. \(2/5n^{81}\)
- B. \(4/25n^{81}\)
- C. \(4/25n^{18}\)
- D. \(4/10n^{18}\)

9. Determine if \(2.01 \times 10^{-5}\) is written in scientific notation.
- A. No, it’s not written as a number times a power of 10.
- B. No, the first factor is not a number between one and 10.
- C. Yes, the number is written in scientific notation.

10. Find the simplified form of \((4 \times 10^{10})(9 \times 10^{-5})\) in scientific notation.
- A. \(3.6 \times 10^4\)
- B. \(3.6 \times 10^{-49}\)
- C. \(36 \times 10^5\)
- D. \(3.6 \times 10^6\)

11. A star is \(9.8 \times 10^1\) light years from Earth. Approximately how many miles is this in scientific notation, given 1 light year is \(5.88 \times 10^{12}\) miles?
- A. \(5.88 \times 10^{13}\) miles
- B. \(5.76 \times 10^{14}\) miles
- C. \(5.88 \times 10^{12}\) miles
- D. \(9.8 \times 10^{12}\) miles

12. A dinosaur fossil is 92,170,000 years old. How can you express its age in scientific notation with the highest level of precision?
- A. \(9.2 \times 10^7\)
- B. \(9.217 \times 10^7\)
- C. \(9.22 \times 10^7\)
- D. \(9 \times 10^7\)

13. Radio signals travel at a rate of \(3 \times 10^8\) 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 \(9.6 \times 10^6\) meters?
- A. \(3.2 \times 10^2\) seconds
- B. \(3.2 \times 10^{-2}\) seconds
- C. \(3.13 \times 10^1\) seconds
- D. \(2.88 \times 10^{15}\) seconds

14. Does the table represent an exponential function?
- x: 1, 2, 3, 4
- y: -2, -12, -72, -432
- A. Yes
- B. No

15. Does the rule \(Y = -5^6\) represent an exponential function?
- A. Yes
- B. No

16. The population of breeding guppies doubles every two months. How many guppies will there be after six months if the beginning population is 180 guppies?
- A. 1,440
- B. 1,080
- C. 360
- D. 2,880

17. Add $3,300,000 principal earns 4% interest compounded annually. After three years, what is the balance in the account?
- A. $3,712.05
- B. $211,200.00
- C. $3,696.00
- D. $10,269.00

18. A car costs $25,750,000 and depreciates in value by 20% per year. How much will the car be worth after five years?
- A. $5,159.00
- B. $8,437.76
- C. $8,240.00
- D. $20,600.00

Please help! 50 points because it’s all I have.