Express each of the following rational numbers with a negative exponent: (1/4)^3 , (3/5)^4

Question

Express each of the following rational numbers with a negative exponent:

(i) (1/4)3

(ii) 35

(iii) (3/5)4

(iv) ((3/2)4)-3

(v) ((7/3)4)-3

Answer 1

(i) (1/4)3

(4)-3 (1/an = a-n)

(ii) 35

= (1/3)-5 (1/an = a-n)

(iii) (3/5)4

(5/3)-4 ((a/b)-n = (b/a)n)

(iv) ((3/2)4)-3

= (3/2)-12 ((an)m = anm)

(v) ((7/3)4)-3

= (7/3)-12 ((an)m = anm)