Properties of Exponents - Challenge II

Negative Exponent

100

x^-1 = ?

x^-1 = 1/x

200

x^-2 = ?

x^-2 = 1/x²

300

x^-0 = ?

x^-0 = 1

400

x^-2 = ?

x^-2 = 1/x²

500

x^-3 = ?

x^-3 = 1/x³

Product Property

100

x⁴ * x⁶ = ?

x⁴ * x⁶ = x¹⁰

200

x^-2 * x⁸ = ?

x^-2 * x⁸ = x⁶

300

2x³ * 3x² = ?

2x³ * 3x² = 6x⁵

400

2x⁴ * 2x⁴ * 2x⁴ = ?

2x⁴ * 2x⁴ * 2x⁴ = 8x¹²

500

5x⁷y^-3 * 6x^-5y⁵ = ?

5x⁷y^-3 * 6x^-5y⁵ = 30x²y²

Quotient Property

100

x⁸/x⁷ = ?

x⁸/x⁷ = x

200

x^-10/x^-8 = ?

x^-10/x^-8 = 1/x²

300

4x⁰/2x⁷ = ?

4x⁰/2x⁷ = 2/x⁷

400

(x-y)⁴/(x-y)⁸ = ?

(x-y)⁴/(x-y)⁸ = 1/(x-y)⁴

500

(5x^-10y^-7)/(8x^-5y³⁾ = ?

(5x^-10y^-7)/(8x^-5y³) = 5/(8x⁵y¹⁰)

Power of Powers

100

(x²)⁴ = ?

(x²)⁴ = x⁸

200

(x^-3)^-2 = ?

(x^-3)^-2 = x⁶

300

((x⁴)^-2)^-1 = ?

((x⁴)^-2)^-1 = x⁸

400

(8x³)² = ?

(8x³)² = 64x⁶

500

(5x³y^-2)⁴ = ?

(5x³y^-2)⁴ = (625x¹²⁾/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

((x^-5)³) / (x^-9 * x⁸) = ?

((x^-5)³) / (x^-9 * x⁸) = 1/x¹⁴

400

(x²y)² * (xy²)² = ?

(x²y)² * (xy²)² = x⁶y⁶

500

(4x³y^-1 * 2x^-3y) / (2x²) = ?

(4x³y^-1 * 2x^-3y) / (2x²) = 4/x²