Laws of Exponents
43 x 42=?
45
61500
6.15*104
1.09 x 103
1090
(5.1 x 104) • (2.5 x 103)
1.275 x 108
The half-life of Uranium is 2.5 x 105 years and the half-life of Plutonium is 8.0 x 107 years. How many times greater is the half-life of Plutonium than Uranium?
3.2 x 102 = 320 times greater.
10x2 divided by 5x-3=?
2x5
321
3.21*102
4.22715 x 108
422715000
(1.247 × 10-3) ÷ (2.9 × 10-2)
4.3 x 10-2
Light travels at approximately 3.0 x 108 m/sec. How far does light travel in one week? (Hint: There are 6.048 x 105 seconds in a week)
Light will travel 1.8144 x 1014 meters in one week.
5x3y4 divided by 5x2y3=?
xy
3.078 x 10-4
0.0003078
(2 x 104) x (3 x 102)
6 x 106
The Earth is approximately 93,000,000 miles from the sun. How long does it take light from the sun to reach the earth? Use the speed of light to be 1.86 x 105 miles per second.
5.0 x 102 = 500 seconds.
4x-2 * 2x3=?
8x
0.0000568
5.68*10-5
9.004 x 10-2
0.09004
(2.6 × 105) (9.2 × 10-13)
2.392 × 10-7
Assume that there are 20,000 runners in the New York City Marathon.. Each runner runs a distance of 26 miles. If you add together the total number of miles for all runners, how many times around the globe would the marathon runners have gone? (Hint: Multiply the number of runners of runners by the total distance then covert it to scientific notation.) Consider the circumference of the earth to be 2.5 x 104 miles.
2.08 x 10^1 = 20.8 times
2(3x2)2=?
18x4
0.07085
7.085*10-2
5.1874 x 102
518.74
(1.247 × 10-3) ÷ (2.9 × 10-2)
4.3 × 10-2
Light travels at a speed of 1.86 x 105miles per second. If a "light year" is the distance that light travels in one year, how many miles are in a light year? (Hint: Light travels 3.1536 x 107 seconds in a year)
5.865696 x 1012 miles