What is the value of#x# if#x^(4/5)=(2^8)/(3^8)#?
3 Answers
Explanation:
If
#(x^a)^b = x^(ab)#
So we find:
#x = x^1 = x^(4/5*5/4) = (x^(4/5))^(5/4)=(2^8/3^8)^(5/4)= ((2/3)^8)^(5/4) = (2/3)^(8*5/4) = (2/3)^10 = 2^10/3^10=1024/59049#
Explanation:
In general if
In this case
and
So
Explanation:
Make
Multiply both sides by the index of 5,
Root both sides by index of 4,
Hence