LAW

EXAMPLE

2³ · 2⁵ = 2⁸ = 256
x² · x³ = x⁵

2. x⁰ = 1 if x ¹ 0

2⁰ = 1

3. x^-n = 1/xⁿ

2^-3 = 1/2³ = 1/8

4. 1/x^-n = xⁿ

1/2^-3 = 2³ = 8; 1/x^-5 = x⁵

5. x^m / xⁿ = x ^m-n = 1/ x ^n-m

2¹² / 2⁸ = 2⁴ = 16; x⁸ / x¹² = 1/x⁴

6. x^m / x^m = 1

2⁴ / 2⁴ = 1

7. (x^m)ⁿ = x ^mn

(2³)⁵ = 2¹⁵ ; (x²)³ = x⁶

8. (xy)ⁿ = xⁿ yⁿ

(2 · 4)³ = 2³ · 4³ = 8 · 64

9. (x/y)ⁿ = xⁿ / yⁿ

(2/3)³ = 2³/3³; (1/3)⁵ = 1/ 3⁵ = 3^-5

10.(x/y)^-n = (y/x)ⁿ

(3/4)^-2 = (4/3)² = 16/9