Question

Express each of the following rational numbers in power notation:

(i) (49/64)

(ii) (- 64/125)

(iii) (-12/16)

Answer 1

(i) Given (49/64)

We know that 72 = 49 and 82= 64

Therefore (49/64) = (7/8)2

(ii) Given (- 64/125)

We know that 43 = 64 and 53 = 125

Therefore (- 64/125) = (- 4/5)3

(iii) Given (-1/216)

We know that 13 = 1 and 63 = 216

Therefore -1/216) = – (1/6)3