Exponent Rules

Negative Exponents

100

Simplify:

x^-3

1/x³

200

Simplify:

3^-2

1/9

300

Simplify:

x^-3 / y^-2

y² / x³

400

Simplify:

2³x^-5 / 3²y^-2

8y² / 9x⁵

500

Simplify

5^-2x³y^-2z⁶

x³z⁶ / 25y²

Product Rule

100

Simplify:

x³ ● x⁵

x⁸

200

Simplify:

2x² ● 3x

6x³

300

Simplify:

-4x³y^-1 ● -x⁵y³

4x⁸y²

400

Simplify:

(2x^-3y^-4z⁵)(-3x⁶y^-3z)

-6x³z⁶ / y⁷

500

Simplify:

(-2x⁴y^-5)●-y⁸

2x⁴y³

Quotient Rule

100

Simplify:

x⁵ / x²

x³

200

Simplify:

x³ / x¹¹

1 / x⁸

300

Simplify:

x⁵y²z / x²y^-3z

x³y⁵

400

Simplify:

27x¹¹y³ / 9x²⁰y²

3y / x⁹

500

Simplify:

3x²y² / 6xy

xy / 3

Combination

100

Simplify:

(n³)³ ● 2n

2n⁷

200

Simplify:

(x⁴)^-3 ● -5x⁴

-5 / x⁸

300

Simplify:

7x³ / (x^-1)³

7x⁶

400

Simplify:

2x³ ● x² / x^-7

2x¹²

500

Simplify:

(2x³z²)³ / x³y⁴z² ● x^-4z³

8x¹⁰z / y⁴

Misc.

100

Simplify:

x⁰

1

200

Simplify:

(5x²y^-5)⁰

1

300

Simplify:

5 ● 100⁰

5

400

Simplify:

5⁰x⁰y⁰z⁵

z⁵

500

Simplify:

1⁷ ● 3² ● 6⁰

9