Exponents Review All

Multiply Same Base

100

x²  * x⁴

x⁶

200

5³ * 5⁶

5⁹

300

x² * x³ * x⁴

x⁹

400

x * x

x²

500

y² * x³ * y⁴

y⁶ * x³

Divide Same Base

100

m⁷/m³

m⁴

200

x³/x

x²

300

(x² * x⁵)/x³ 

x⁴

400

5⁷/(5² * 5³)

5²

500

x³/x⁷

^{No negative exponents!!}

1/x⁴

Power to a Power

100

(x³)²

x⁶

200

(m⁵)⁴

m²⁰

300

(m² * m³)³

m¹⁵

400

(y² * x³)⁴

y⁸ * x¹²

500

(x³ * x²)^-2

^{No negative exponents}

1/x¹⁰

Negative Exponents

100

x^-3

1/x³

200

5^-2

1/5²

300

3^-5

1/3⁵

400

4^-2

^{also do the math!  get rid of the exponent}

1/16

500

5^-3

^{get rid of all exponents!  do the math}

1/125

Mixed Bag

100

anything to the 0 power is ______________

1

200

745¹

745

300

1¹²

1

400

Instead of saying 5 to the second power, what is another way to say it?

5 squared

500

Instead of saying 5 to the third power, what is another way to say it?

5 cubed