Question

EXAMPLES ON LAW OF
INDICES

Answer 1

Answer:

For example, 25 means that you have to multiply 2 by itself five times = 2×2×2×2×2 = 32. There are a number of important rules of index numbers: ya × yb = y.

Answer 2

Step-by-step explanation:

Law 1:

a^m × a^n = a^(m+n)

Ex : 2³ × 2²

= 2^(3+2)

= 2^5

Law 2 :

a^m / a^n = a^(m - n)

Ex : 3⁴ / 3² = 3^(4 - 2)

= 3²

Law 3 :

a^m × b^m = (ab)^m

Ex : 2³ × 3³

= (2×3)³

= 6³

Law 4:

a^m / b^m = (a/b)^m

Ex : 6⁴ / 2⁴

= (6/2)⁴

= 3⁴

Law 5 :

a^(- n) = 1/(a^n)

Ex : 5^(-1)

1/5¹

Law 6 :

a^0 = 1

Ex : 2^0

= 1

(23×62)^0

= 1