Exponent Rules

Exponent Basics

100

The exponent in the following is:

5²

2

200

The base in the following is:

5²

5

300

Write in exponent form:

3 x 3 x 3 x 3    

3⁴

400

Write in exponent form:

4 x 4 x 4 x m x m x m x m

 

4³m⁴

500

Evaluate:

(-12)³

-1728

8-2 Mixed

100

Simplify the expression:

6² x 6⁴

6⁶

200

Simplify the expression:

(3⁴)³

3¹²

300

Simplify the expression:

(4ab)³

64a³b³

400

Simplify the expression:

(-3v)⁵

-243v⁵

500

Simplify the expression:

(g⁶)³

g¹⁸

Quotient of Powers

100

Simplify the expression:

9⁷ / 9⁴

9³

200

Simplify the expression:

h⁷ / h⁶

h

300

Simplify the expression:

(-7)⁹ / (-7)³

(-7)⁶

400

Simplify the expression:

x⁸ / x³

x⁵

500

Simplify the expression:

15^{20 /} 15⁴

15¹⁶

Zero & Negatives

100

Simplify the expression using only positive exponents:

3^-4

1 / 3⁴

200

Simplify the expression:

3⁰

1

300

Simplify the expression using only positive exponents:

4^-2

1 / 4²

400

Simplify the expression:

20⁰

1

500

Simplify the expression using only positive exponents:

10^-8

1 / 10⁸

Combined

100

Simplify the expression:

(6⁷ x 6³) / 6⁵

6⁵

200

Simplify the expression:

2¹⁵ / (2³ x 2⁵)

2⁷

300

Simplify the expression:

(d⁵ / d) x (d⁹ / d⁸)

d⁵

400

Simplify the expression using only positive exponents:

(1 / 5⁷) x (1 / 5^-4)

1 / 5³

500

Simplify the expression:

3d^-4 x 4d⁴

12