Law of Exponents

Product Rule

100

X²*X²

X⁴

200

x²*2x²

2x⁴

300

2X³*2x²

4x⁵

400

3x⁴*2x⁵

6x⁹

500

5x⁵*10x¹²

50x¹⁷

Quotient Rule

100

x²/x¹

X

200

2x⁸/x³

2x⁵

300

4x⁹/2x³

2x⁶

400

12x⁹/6x⁷

2x²

500

15x⁸/5x⁷

3x

Negative Rule

100

a^-x

1/a^x

200

a^-4

1/a⁴

300

1/a^-2

a²

400

a^-4b²

b²/a⁴

500

a^-4b^-5

1/a⁴b⁵

Zero/One Rule

100

a⁰

1

200

3¹

3

300

a⁰b¹

b¹

400

100⁰a¹²

a¹²

500

1¹⁵

1

Exponent Vocab

100

Method of expressing large numbers in terms of powers.

Exponent

200

Any number or variable raised to the zero power is always 1.

Zero Rule

300

The number or variable that is raised to a power.

Base

400

Flipping the denominator and numerator of a fraction.

Reciprocal 

500

When multiplying exponents with the same bases, you add the exponents.

Product Rule