Intro to Exponents
Multiplying with Like Bases
Dividing with Like Bases
Power to a Power
Rational Numbers
100
Write 3 * 3 * 3 * 3 * 3 * 3 using exponents.
36
100
Simplify using exponents in your answer.
45 * 43
48
100
Simplify using exponents in your answer.
4^8/4^2
46
100
Simplify using exponents in your answer.
(x3)2
x6
100
What are the two types of decimals that are rational numbers?
Terminating and repeating decimals.
200
Write a * b * a * a * b using exponents.
a3 * b2
200
Simplify using exponents in your answer.
x5 * x8 * x
x14
200
x^10/x^2
x8
200
Simplify using exponents in your answer.
(h4)9
h36
200
Write the following fraction as a decimal.
5/8
0.625
300
Evaluate (-2)5.
-32.
300
Evaluate.
(-2)4 * (-2)3
-128.
300
c^7/c^4 * c^2
c5
300
What value for x makes the equation true?
(c4)4 = (c2)x
x = 8.
300
Write the following decimal as a fraction.
0.35
7/20
400
16/81
400
Simplify using exponents in your answer.
x4 * x10 * y7 * y2
x14 * y9
400
d^9/d^-8
d17
400
6Evaluate.
(35)1
35 = 243.
400
True or false: -23 is not a rational number.
False.
500
Evaluate the following expression if a = 3 and b = 5.
a2 + b4
634.
500
What value for x makes the equation true?
ax * a5 = a11
6.
500
Evaluate.
2^12/2^9 *(2^3)^0
23 = 8.
500
Simplify.
(2c2)3
8c6
500
Write the following decimal as a fraction in simplest form.
0.363636363636....
4/11
600
Interstate 70 stretches almost 23 * 52 * 11 miles across the United States. About how many miles long is Interstate 70?
2,200 mi.
600
The processing speed of a certain computer is 1011 instructions per second. Another computer has a processing speed that is 103 times as fast. How many instructions per second can the faster computer process?
1014 instructions.
600
The seating capacity of a movie theater is 35. The seating capacity of Madison Square Garden is 39. About how many times greater is the capacity of Madison Square Garden in NY than a typical movie theater?
34 or 81 times.
600
The sides of a cube measure x6 inches. Find the volume of the cube.
x18 cubic inches.
600
Which number is bigger? Justify your answer.
4/7 or 11/20
4/7