Broge-Properties of Exponents

Negative Exponent

100

x^-1 = ?

x^-1 = 1/x

200

x^-2 y⁸= ?

x^-2 y⁸ = y⁸/x²

300

x^-0 = ?

x^-0 = 1

400

20ab² / 5a³ b⁵=?

20ab² / 5a³ b⁵=4/a²b³

500

x^-x = ?

x^-x = 1/x^x

Product Property

100

x⁴ * x⁶ = ?

x⁴ * x⁶ = x¹⁰

200

x^-2 * x⁸ = ?

x^-2 * x⁸ = x⁶

300

2x³ * 3x² = ?

2x³ * 3x² = 6x⁵

400

(d²h³j⁴)(d⁸h⁷j¹⁰)=?

(d²h³j⁴)(d⁸h⁷j¹⁰)=d¹⁰h¹⁰j¹⁴

500

5x⁷y^-3 * 6x^-5y^-5 = ?

5x⁷y^-3 * 6x^-5y^-5 = 30x²/y⁸

Quotient Property

100

x⁸/x⁷ = ?

x⁸/x⁷ = x

200

x¹⁰/x^-8 = ?

x¹⁰/x^-8 = x¹⁸

300

4x⁰/2x⁷ = ?

4x⁰/2x⁷ = 2/x⁷

400

7xy²/y⁵=?

7xy²/y⁵=7x/y³

500

8a²b³c⁵/4abc²=?

8a²b³c⁵/4abc²=2ab²c³

Power of Powers

100

(x²)⁴ = ?

(x²)⁴ = x⁸

200

(x^-3)^-2 = ?

(x^-3)^-2 = x⁶

300

(a³b⁴c³)⁵=?

(a³b⁴c³)⁵=a¹⁵b²⁰c¹⁵

400

(8x³)² = ?

(8x³)² = 64x⁶

500

(5x³y^-2)⁴ = ?

(5x³y^-2)⁴ = 5⁴x¹²/y⁸

Mixed Bag

100

(x^-9 * x^-3)² = ?

(x^-9 * x^-3)² = 1/x²⁴

200

(x^-7/x^-3) * (x⁴/x^-5) = ?

(x^-7/x^-3) * (x⁴/x^-5) = x⁵

300

(x⁵)³ / (x⁹ * x⁸) = ?

(x⁵)³ / (x⁹ * x⁸) =1/x²

400

(x²y)² * (xy²)² = ?

(x²y)² * (xy²)² = x⁶y⁶

500

x^-2y⁵m⁴/x⁶y⁴m⁷=?

x^-2y⁵m⁴/x⁶y⁴m⁷=y¹/x⁸m⁴