Exponent Basics
What is the base in the expression 4^3?
4
What is the value of 10^2?
100
Evaluate 2x + 3y when x = 4 and y = 2.
14
A bacteria doubles every hour. If you start with 1 bacterium, how many will you have after 4 hours?
16
What is the square root of 144?
12
What is the exponent in the expression 5^2?
2
Write 1000 as a power of 10.
10^3
Evaluate 5(a - b)^2 when a = 6 and b = 2.
80
A video game is on sale for 20% off. If the original price is $60, what is the sale price?
$48
Write 5 x 5 x 5 x 5 in exponential form.
5^4
What is the value of 2^4?
16
How many zeros are in the number represented by 10^5?
5
Simplify 3x^2 + 2x^2.
5x^2
The area of a square is 64 square inches. What is the length of one side?
8 inches
Evaluate 10^0.
1
Write 2 x 2 x 2 x 2 x 2 in exponential form
2^5
Evaluate 10^4 รท 10^2.
100
Evaluate (2^3)^2.
64
A ball is dropped from a height of 10 feet. Each bounce is half the height of the previous one. How high is the ball after the third bounce?
1.25 feet
Simplify 2x^3 * 3x^2.
6x^5
Explain the difference between 3^2 and 2^3
3^2 means 3 multiplied by itself 2 times, while 2^3 means 2 multiplied by itself 3 times.
Explain why any number raised to the power of 0 equals 1.
Any number raised to the power of 0 is defined as 1.
Simplify (4x^3y^2)^2.
16x^6y^4
A population of rabbits doubles every year. If there are 20 rabbits initially, how many will there be after 3 years?
160
A recipe calls for 2 cups of flour for every 3 cups of sugar. How many cups of flour are needed for 9 cups of sugar?
6 cups