Exponents

Base Exponents

100

Evaluate 5³

125

200

What is the result of 2⁴?

16

300

Simplify 10²

100

400

Calculate 7³

343

500

What is the value of 4⁵?

1024

Negative Exponents

100

Simplify 2^-4 

.0625 OR 1/2⁴

200

Evaluate 5^-2

.04 OR 1/5²

300

Calculate 8^-3

.001953125 OR 1/8³

400

What is the result of 3^-4?

.01234567901 OR 1/3⁴

500

Simplify 6^-5.

.00012860082 OR 1/6⁵

Exponent Rules

100

Apply the product rule to simplify 2³ * 2⁵.

2⁸

200

Simplify (3²)⁴.

3⁸

300

Use the quotient rule to simplify 5⁷ / 5³.

5⁴

400

Apply the power rule to simplify (4⁶)²

4¹²

500

Simplify 2² * 2³ / 2².

2³

Word Problems

100

If a number is squared and then cubed, what operation represents this using exponents?

multiplication

200

A rectangle has its length represented by 4² and width by 4³. What's the area represented with exponents?

4⁵

300

 If 3^x equals 81, what is the value of x?

3⁴

400

A bacteria culture multiplies every hour. If it starts with 5 bacteria, how many will be present after 4 hours using exponents?

5⁴ or 625

500

Express "8 times a number squared" using exponents. 

8 * x²