Applying Exponent Rules
Simplify: (x3y7)2
x6y14
What is the cube root of 343?
7
What is the value of 7!/(0! x 4!)?
210
Convert 33 cm to inches. (1 inch = 2.54 cm)
12.9921 inches
Find the missing term in the sequence 4, 12, 36, x, 324, 972.
108
If (300)(400) = 12 x 10n, what is n equal to?
4
How many perfect squares exist between 50 and 250?
8
Simplify: (4! + 5!)/(3! + 2!)
18
If a student averaged 45 mi/h, what was the student's speed in ft/s?
66 ft/s
18, 27, 49, 84, 132, ?
190
What is the difference between 32 x 42 and 23 x 24?
16
What digit would be in the ones place in the cube root of 19683?
7
612 or 2176782336
A carpenter is making a model house and he buys 8 feet of crown moulding to use as accent pieces. He needs 98 inches of the moulding for the house. How many feet of the material does he need to finish the model?
8 and 1/6 feet
What is the 101th term of the sequence 3, 8, 13, 18,...?
503
Evaluate: -(-1/4)-2
-16
Samantha walked to school from her house. Her brother Jerrod walked to the park first, then to school from there. Their travels together make a right triangle. If Samantha walked 8 blocks, how many combined blocks did Jerrod walk?
32
20 horses run in a race. How many ways can 3 horses finish 1st, 2nd, and 3rd place, in any order?
1140
A room is 10ft by 12ft. How many square yards are in this room?
13 and 1/3 square yards
Consider the an arithmetic sequence where a3=165 and a12=615. Find n, such that an=2015
n = 40
If an original bacteria colony contains six organisms, and triples every hour, how many organisms are there after 7 hours?
6 x 37 = 13,122
A 6-digit perfect square is coded as AABCAB, with each letter stands for a digit.This can be sliced into two parts AAB and CAB, which are themselves perfect squares. The numbers, represented by AB and ABC are also perfect squares. What are A,B and C?
A = 2, B = 5, C = 6
What is the greatest integer x such that 33! has 3^x as a factor?
15
A child is prescribed a dosage of 12 mg of a certain medicine per day and is allowed to refill his prescription twice. If there are 60 tablets in a prescription, and each tablet has 4 mg, how many doses are in the 3 prescriptions?
60 daily doses
Find the next two numbers in the sequence:
0, -2, 8, -16, 16, -256, 24...
-6144, 32