Power Play: Simplify the Exponents

Multiplying Powers

100

1. When you multiply powers with the same base, what do you do with the exponents?

Add

200

2.  Simplify: (x³) (x⁵) 

x⁸

300

3.  Simplify: (m²) (m⁴) (m⁷)

m¹³

400

4.  Simplify: (ab) (a⁴b²)

a⁵b³

500

5.  Simplify: (x³) (x^-5)

1/x²

Dividing Powers

100

1.  When you divide powers with the same base, what do you do with the exponents?

Subtract

200

Simplify:  a⁵/a³

a²

300

Simplify: x⁵/x⁵

1

400

Simplify: m⁸/m^-2

m¹⁰

500

Simplify: x³/x⁷

x⁴

Zero Exponents

100

x⁰

1

200

(abc)⁰

1

300

(2x³y^-2)⁰

1

400

5x⁰

5

500

2⁰ + 3⁰​​​​

2

Negative Exponents

100

x^-2

1/x²

200

(xy)^-2

1/x²y²

300

m^-3/n^-2

n²/m³

400

x^-5/x^-8

x³

500

(2x²y⁴)^-3

1/8x⁶y¹²