Laws of Exponents
Simplify
23 x 25 x 27 x 32 x 34
215 x 36
Write in expanded notation
7,856,234
(7 x 106) + (8 x 105) + (5 x 104) + (6 x 103) + (2 x 102) + (3 x 101) + (4 x 100)
Find the smallest power of 10 that will exceed it.
M = 118,526.65902
106
Change the finite decimal into scientific notation
7854.369
7.854369 x 103
Simplify
((-2)7 x 955)/ ((-2)5 x 954)
(-2)2 x 95
Simplify
(7(123456.789)4)0
1
Which is bigger? Show with power of 10
0.00001 or 0.001
0.00001 = 10-5
0.001 = 10-3
so 10-3 is bigger
Solve the following. Express answer in scientific notation
3.4 x 10-27 + 2.7 x 10-26
3.04 x 10-26
Simplify
5/x3 (11x4)
55x
Simplify
(a0 + b0)a0
2
Simplify answer. Round if needed
(2 x 107)/(8 x 106)
2.5
The sun produces 3.8 x 1027 joules of energy per second. How much energy is produced a year? ( a year has 31,000,000 seconds)
1.178 x 1035 joules
Simplify
(5x)7
57x7
Simplify
xy-4
x/y4
Simplify and round if needed
(3 x 106) / (8 x 102)
3750
On average, Mercury is about 57,000,000 km from the sun, whereas Neptune is about 4.5 x 109 km from the sun. What is the difference between Mercury and Neptune's distance?
4.443 x 109 km
Simplify
(a2bc3)4
a8b4c12
Simplify
(y-1)n
y-n or 1/yn
Simplify and round answer if needed
The estimated world population in 2011 was 7 x 109. Of the total, 682 million of those were left handed. Approximately what percentage of the world population is left handed?
10%
Given that the mass of the sun is approximately 1.9 x 1030 kg, how many Venuses and Earths would it take to equal the mass of the sun with their combined mass of 1.08 x 1025 kg
approximately 1.8 x 105