Properties of Exponents

Product and Quotient of Powers

100

Simplify (2²) (2⁵)

128 or 2⁷

200

Simplify (6⁸)/(6⁶)

6²

300

Simplify (r³s⁴) (s²t²)

r³s⁶t²

400

Simplify (6a¹⁰)/(3a⁷)

2a³

500

Simplify (4⁵e⁴f³) (e⁶f)

4⁵e¹⁰f⁴

Power of a Power

100

Simplify (4²)²

256 or 4⁴

200

Simplify (u¹¹)¹¹

u¹²¹

300

(3q¹⁰)⁴

3⁴q⁴⁰

400

Simplify (x^-18)³

x^-54 or 1/x⁵⁴

500

Simplify: (4s⁸)⁴

4⁴s¹²

Power of a Product

100

Simplify (a³b⁶)⁴

a¹²b²⁴

200

Simplify (3ab)²

3²a²b² or 9a²b²

300

Simplify (df)² (d³f)⁵

d¹⁷f⁷

400

Simplify (p⁵r⁷)⁹

p⁴⁵r⁶³

500

Simplify (2x³y)⁴

2⁴x¹²y⁴ or 16x¹²y⁴

negative

100

simplify 4^-2

1/16

200

simplify x^-6

1/x⁶

300

Write as a non fraction   1/3⁴

3^-4

400

Write using positive exponents   3d^-5

3/d⁵

500

Evaluate x^-3  when x=2

1/8

Multiple Properties

100

(2x³)⁴ * x⁶

2⁴x¹⁸ or 64x¹⁸

200

5x²y * (x⁴y³)²

5x¹⁰y⁷

300

Simplify:(4x²y³z)² * x

16x⁵y⁶z²

400

x⁴ / x²

x²

500

Simplify 6x¹² *4x³ / 8x⁷

3x⁸