Write each of the following in exponential form: (3/2)^-1 × (3/2)^-1 × (3/2)^-1 × (3/2)^-1

Question

Write each of the following in exponential form:

(i) (3/2)-1 × (3/2)-1 × (3/2)-1 × (3/2)-1

(ii) (2/5)-2 × (2/5)-2 × (2/5)-2

Answer 1

(i) (3/2)-1 × (3/2)-1 × (3/2)-1 × (3/2)-1

= (3/2)-4 (a-n = 1/an, an = a×a…n times)

(ii) (2/5)-2 × (2/5)-2 × (2/5)-2

= (2/5)-6 (a-n = 1/an, an = a×a…n times)