Question

Using laws of exponents, simplify and write the answer in exponential form

(i) 23 × 24 × 25

(ii) 512 ÷ 53

(iii) (72)3

Answer 1

(i) Given 23 × 24 × 25

We know that first law of exponents states that am × an× ap = a(m+n+p)

Therefore above equation can be written as 23 x 24 x 25 = 2(3 + 4 + 5)

= 212

(ii) Given 512 ÷ 53

According to the law of exponents we have am÷ an= am-n

Therefore given question can be written as 512 ÷ 53 = 512 – 3 = 59

(iii) Given (72)3

According to the law of exponents we have (am)n = amn

Therefore given question can be written as (72)3 = 76