Exponent's Rules

Product Rule

100

(b⁴)(b⁴)

b⁸

200

(12⁵)(12⁷)

12¹²

300

(6^-3)(6⁵)

6²

400

(5y⁹)(4y^-4)

20y⁵

500

(x²y^-1)(xy⁴)

x³y³

Quotient Rule

100

25a³/5a

5a²

200

6x¹⁰/2x²

3x⁸

300

27z²³/9z¹⁵

3z⁸

400

(24a¹⁰)/(8a⁵)

3a⁵

500

(b⁴c¹²)/(b⁹c⁷)

b^-5c⁵

Power of a Product

100

(7a⁷)²

7²a¹⁴

200

(ab⁵/c³)⁵

(a⁵b²⁵/c¹⁵)

300

(2a⁷t⁹)⁵

2⁵a³⁵t⁴⁵

400

(d⁹x¹²/5)²

(d¹⁸x²⁴/25)

500

(4a³/3b⁵c)²

16a⁶/9b¹⁰c²

Power Rule

100

(xy)⁴

x⁴y⁴

200

(yz)⁷

y⁷z⁷

300

(-2a)⁵

-2⁵a⁵

400

(5bc)⁴

5⁴b⁴c⁴

500

(2y/3z)⁵

(2⁵y⁵/3⁵z⁵)

Other

100

What is the number under the exponent called?

The Base

200

What is the result of an exponent called?

The power

300

Is the answer to this positive or negative?

(-5)⁴⁶⁶⁸

Positive

400

Solve: (4x+6y)⁰

1

500

Solve: (357+9²)¹

438