Rules of Exponents

Multiplying

100

x⁷*x³

x¹⁰

200

z⁴*z⁹*z⁶

z¹⁹

300

2³*2⁵*2

2⁹

400

9²*9⁵*5⁷*5²

9⁷*5⁹

500

Rule? When multiplying exponents with the same base, you _____ the exponents.

multiply, divide, add, subtract

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

More Multiplication

100

(x²)(x⁶)

x⁸

200

(-5t³)(6t⁷)

 -30t¹⁰

300

(4³*4¹⁹)

4²²

400

4m⁴g⁶ * mg²

4m⁵g⁸

500

Rule? When raising a power to another power, you _______ the exponents. 

multiply, divide, subtract, add

When raising a power to another power, you multiply the exponents.

Dividing

100

x⁵\x²

x³

200

14z⁶\7z⁴

2z²

300

-12s⁴f⁶ / 2s³f²

-6sf²

400

3x⁴y\6x²y²

1x² / 2y

500

Rule? When dividing exponents with the same base, you ________ the exponents.

multiply, divide, add, subtract

When dividing exponents with the same base, you subtract the exponents.