Working with Exponents
Name__________________________________
Star Trek In episode 20, “Court Martial”, of the original Star Trek television series, Captain Kirk is charged with killing a crew member. To prove the crew member is still alive and hiding on the ship, the heartbeats of everyone on board are amplified and then the sounds of the heartbeats of all the known passengers are eliminated, leaving only the heartbeat of the hiding crew member to be heard. In explaining how the heartbeats could be heard, Captain Kirk states that the ship’s computer is amplifying the heartbeats by a factor of "one to the fourth power"! Explain why this statement is considered a memorable quote.
Directions: For the following problems, if necessary, round answers to two decimal places.
1. 23 = ____________
13. p −4 = ____________
2. (−2)3 = ____________
14. 34 × 42 = ____________
3. 2−3 = ____________
15. 10.25 × 6.343 = ____________
4. 2.53 = ____________
16. x 6 i x5 = ____________
5. 51.7 2 = ____________
17. a 7 ia −3 = ____________
6. 12.6−2 = ____________
18. g −6 i g −2 = ____________
7. 14 = ____________
19. x5 i x 3 i x = ____________
8. 110 = ____________
20. b6 ib 2 ib −2 = ____________
9. 1−5 = ____________
21. ( a m ) = ____________
10. 05 = ____________
22.
(x )
11. 0−3 = ____________
23.
( g ) ig
12. a m ia n = ____________
24. ai( a −1 ) ia 2 = ____________
n
5 3
= ____________
4 2
3
= ____________
3
Express the remaining answers in fraction form. 3 −2 ⎛2⎞ ⎛1⎞ 25. ⎜ ⎟ = ____________ 26. ⎜ ⎟ = ____________ ⎝5⎠ ⎝4⎠
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