Square/Cube Roots
Solve the equation: x2 = 32
What is x = +5.5, -5.5
Using at least two rules of exponents, write an expression expression that would produce 32
What is
31 + 33
39/35
(32)2
The width of a dog hair is 0.000034 meters. Express this in scientific notation.
What is 3.4 x 10-5
A basketball court is approximately 1.4 x 10^2 yards by 4 x 10^1 yards. What is the approximate area of the football field. Express your answer in the correct scientific notation.
What is
(1.4 x 102)(4x 101)
(1.4 x 4)(102 x 101)
A= 5.6 x 103
x3 = 216
What is x = 6
Name 3 rules of exponents
What is
a0 = 1
a-n = 1/an
am x an = am+n
am/an = am-n
(a^m)^n = a^mxn
The population of Appleton is 6 x 10^7 and the population of Oshkosh is 3 x 10^4. How many more times larger is the population of Appleton than Oshkosh?
6/3 = 2
10^7/10^4 =10^3
2 x 10^3 = 2,000 times larger
Every square mile of the ocean contains an average of 1.4 x 103 pieces of trash. The area of the Earth's surface is covered by oceans is approximately 4.6 x 107 square miles. Using the estimate, how many pieces of trash are in the Earth's ocean?
What is...(1.4 x 103)(4.6 x 107)
(1.4 x 4.6)
(103 x 107)
6.44 x 1010 or 64,400,000,000 pieces of trash
The volume of a box is 294 cubic inches. The height is 6 inches. The other two sides have the same length. Write and solve an equation to find the length of the sides.
What is
294 = 6 times x times x
294 divided by 6 =
49 = x2
x = 7
Sides are 7 inches
Solve the following expressions. Final answer should only have positive exponents
1. 43/41
2. (52)(5-3)
3. (72)4
4. (2^3)^3/(2^3)(2^-2)
What is
1. 42
2. 1/51 or 1/5
3. 78
4. 28
The area of Hawaii is approximately 1.7 x 10^4 square miles. Texas's are is approximately six times larger. How much larger is Alaska? Write your answer in scientific notation.
What is...
(1.7x10^4)(6)
(1.7)(6) x(10^4)
10.2 x 10^4 times larger