exponent basics
exponential calculations and area
scientific notation and Pythagorean Theorem
square roots
classification of numbers and right triangles
100
Simplify (-12)^3.
What is -1728?
100
Simplify (-3)^-4 divided by (-3)^5. Write your answer in exponential form.
What is (-3)^-9 or 1/(-3)^9?
100
Write 1.9 x 10^-5 in standard form.
What is 0.000019?
100
Find the two square roots of 225/289.
What is 15/17 and -15/17?
100
Is square root of 11 rational or irrational?
What is irrational?
200
Write in exponential form: 17 x 17 x 17 x 17
What is 17^4?
200
Simplify 12^3/12^-5 x 12. Write your answer in exponential form.
What is 12^9?
200
Write 0.000,056,9 in scientific notation.
What is 5.69 x 10^-5?
200
A square playground has an area of 256 square yards. Find the length of one side of the playground.
What is 16 yards?
200
Is the square root of 5 1/16 rational or irrational?
What is irrational?
300
Evaluate m^3 + n^4 + 7 for m = -5 and n = -4.
What is 138?
300
Simplify (13^24)^-2 x 13. Write your answer in exponential form.
What is 13^49?
300
A pet store buys a truckload of dog food. The bags weigh 25 pounds each. How much will all 10,000 bags ordered weigh? Write your answer in scientific notation.
What is 2.5 x 10^5?
300
Simplify 4 times the square root of 81 plus the square root of 169.
What is 49?
300
Find a real number between the square root of 196 and (-5)^2.
What is any number between 14 and 25?
400
Simplify (100)^-4.
What is 0.000,000,01?
400
A square family room has an area of 450 square feet. What is the length of one side of the family room to the nearest tenth of a foot?
What is 21.2 foot?
400
A support wire runs from the top of a tower to the ground. If the tower is 1200 feet tall and the wire is attached to the ground 500 feet from the base of the tower, find the length of the support wire.
What is 1300 feet?
400
The square root of 1436 if between which two integers?
What is 37 and 38?
400
Could the following set of numbers be the measures of the sides of a right triangle: 7, 24, 25?
What is yes? 49 + 576 = 625
500
Simplify (-7)^-4. Write your answer as a fraction.
What is 1/2401?
500
Simplify (3 + 2)^-2 + (4 + 5)^0 + (1 + 2)^-1. Answer should be exact (no rounding).
What is 1 28/75?
500
Find the distance between points (-6, 0.5) and (-6, -4.3) to the nearest tenth.
What is 4.8?
500
The negative square root of 284 is between which two integers?
What is -16 and -17?
500
Find the length of the unknown side to the nearest hundredth. a = 4; b = 5; c= ?
What is the square root of 41 or 6.4?