Exponents
Write 4x4x4x4x4x4x4 in exponential form.
47
43 x 42=?
45
1.09 x 103
1090
(2 x 104)*(3 x 102)
6 x 106
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.
Write 35 in expanded Form.
3x3x3x3x3
(m3)5=?
m15
321
3.21*102
(8.4 × 10-3) ÷ (6 × 10-2)
1.4*10-1
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 104 meters in one week.
Evaluate the expression, (-3)3
-27
10x3 divided by 5x2=?
2x
0.07085
7.085*10-2
(5.1 x 104) • (2.5 x 103)
1.275 x 108
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.
Evaluate the expression (149)0
1
(4x4)*(2x3)=?
8x7
5.1874 x 102
518.74
(2.6 × 105) (9.2 × 10-13)
2.392 × 10-7
Humpback whales are known to weigh as much as 8 x 104 pounds. The tiny krill they eat weigh only 2.1875 x 10-3 pounds. Approximately how many times greater are humpback whales than krill? (Round to the ones place)
4 x 107
Evaluate the expression, 9-2
1/81
What is the value of n that would make the equation true? (43)n = 48 * 47
n = 5
0.0000568
5.68*10-5
(1.247 × 10-3) ÷ (2.9 × 10-2)
4.3 × 10-2
Light travels at a speed of 1.86 x 105 miles 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