Wehet
contestada

For integer values of a and b, b^a = 8. The ratio of a to b is equivalent to the ratio of c to d, where c and d are integers. What is the value of c when d = 10?

Respuesta :

the only integer values to fit b^a = 8 would be 2^3, knowing this you can set up  a proportion where 
3:2  =  c:10
c is then equal to 10/2 *3 
15
mreijepatmat
bᵃ = 8 , but 8 = 2³
then
bᵃ = 2³  and a = 3  and b = 8

a/b = c/d

3/8 = c/10 . Cross multiplication: → 8c = 3x10 → 8c = 30

and c = 30/8 = 15/4

Proof:

3/8 = (15/4)/10

3/8 = 15/40  and 15/40 = (3x5)/(8x5) = 3/8