Square Roots and Cube Roots
Write m7 in expanded form
m × m × m × m × m × m × m
Simplify: x12/x8
x4
Convert 0.000098 to scientific notation
9.8 × 10-5
Estimate 789,000,350 in scientific notation
8 × 108
Evaluate the expression: 9-2
How could you write this without a negative exponent?
1/81
1/92
Evaluate the expression:(-9)2
81
Simplify: x3 • x5
x8
Find the sum or difference: (6.2 × 108) + (2.3 × 108)
8.5 × 108
Find the product or quotient: (1.5 × 10-5)(5 × 10-3)
7.5 × 10-8
There are approximately 1.2 × 108 households in the U.S. If the average household uses 400 gallons of water each day, what is the total number of gallons of water used by households in the U.S. each day?
Write in scientific and standard notation.
4.8 × 1010 gallons
48,000,000,000 gallons
Evaluate the expression: (2/7)3
8/343
Simplify: (x5)8
x40
Find the sum or difference: (7.2 × 10-3) - (6.8 × 10-4)
6.52 × 10-3
Find the product or quotient: (9.45 × 107)/(2.1 × 102)
4.5 × 105
The population of China is about 1.4 × 109 people, while the population of South Korea is approximately 50,000,000 people. How many times greater is the population of China than the population of South Korea?
Write in scientific and standard notation.
2.8 × 101 times greater
28 times greater
Evaluate the expression: x3 =343
x = 7
Simplify: (x2y2)3 • (x2)0
x6y6
Find the sum or difference: (6.4 × 105) + 320,000
9.6 × 105
Find the product or quotient and write it in scientific and standard notation: (8 × 10-3)(0.0003)
2.4 × 10-6
0.0000024
Summerville has a population of 430,000 people, while Eagleton has a population of 5.7 × 105 people. What is the difference in population between the two towns?
Write in scientific and standard notation.
1.4 × 105
140,000
The volume of a cube is V = 729 in3.
Write an equation that could be used to find x (the length of one side of the cube).
Solve for x.
x3 = 729
x = 9 inches
Simplify: (xy)7/(x2y3)2
x3y
Find the sum or difference: 0.00054 - (3.2 × 10-4)
2.2 × 10-4
Find the product or quotient and write it in scientific and standard notation: 5,000,000/(2.5 × 103)
2 × 103
2,000
A snail in Lauren's vegetable garden is traveling at a speed of 0.03 miles per hour. An airplane flying above Lauren's house is traveling at a speed of 575 miles per hour. ESTIMATE how many times faster the airplane is traveling than the snail?
Write in scientific and standard notation
2 × 104 or 20,000 times faster