Question

I need all of these answers with work shown and/or explained, please help..

1. -(5)^-1

Answer:-1/5

3. -1/y^-4

Answer: -y^4

4. 5 ^ 4 x 5^7

Answer: 5^11

7. (5t ^ 3)^-4

Answer: 1/625t^12

12. What is the order of 4 x 10^-7, 7 x 10^-9, 1 x 10^4, 2 x 10^4

Answer: 7 x 10^-9, 4 x 10^-7, 1 x 10^4, 2 x 10^4

13. Find the simplified form of the expression. Give your answer in scientific notation
(8 x 10^4)(9 x 10^-8)

Answer: 7.2 x 10^-3

14. Astronomers measure long distances in light-years. One light year is the distance that light can travel in one year, or approcimately 5.88 x 10^12 miles. Suppose a star is 9.8 x 10^1 light-years from Earth. in scienctific notation, approximately how many miles is it?

Answer: 5.76 x 10^14 miles

15. A dinosaur fossil is 91,910,000 years old. How canyou express this age in scientific notation with the highest level of precision?

Answer: 9.191x10^7

16. Radio signals travel at a rate of 3 x 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 3.6 x 10^7 meters? (Hint: Time is distance divided by rate.)

Answer: 1.2 x 10^-1

18. Does the rule y=6x^7 represent an exponential function?

Answer: no

Answer 1

Looks like you cadges some answers, but need to show your work. I will say that #18 is false. It is most certainly an exponential function. If that is not clear, you really need to do some studying.

Do you have any thoughts at all on these exercises?

Answer 2

1. -(5)^-1 = 1/-(5) = -1/5.

3. Similar to #1.

4. a^4 * a^7 = a^11
5^4 * 5^7 = 5^11.

7. (5t^3)^-4 =
1/(5t^3)^4 =
1/(5^4t^12) = 1/(625t^12).

12. 4*10^-7 = 400*10^-9 and is much larger than 7*10^-9;
therefore, it is the smallest in the order.

13. (8*10^4) (9*10^-8) = 72*10^-4 = 7.2*10^-3.

14. d = 5.88*10^12miles/light-year * 9.8*10^1light-years = 5.76*10^14 miles.

16. V*T = 3.6*10^7
3*10^8T = 3.6*10^7
T =

Answer 3

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