If ( x/y)^3=(64/1331)/(11/4)^-3

Find the value of (x/y)^2

Asked by yk27368 | 26th May, 2019, 12:00: PM

Expert Answer:

begin mathsize 16px style open parentheses straight x over straight y close parentheses cubed space equals fraction numerator space open parentheses begin display style 64 over 1331 end style close parentheses over denominator open parentheses begin display style 11 over 4 end style close parentheses to the power of negative 3 end exponent end fraction space equals space open parentheses 64 over 1331 close parentheses cross times open parentheses 11 over 4 close parentheses cubed space equals space 4 cubed over 11 cubed cross times space 11 cubed over 4 cubed
rightwards double arrow open parentheses straight x over straight y close parentheses cubed space equals space 1
rightwards double arrow straight x over straight y equals space 1
Squaring space on space both space the space sides comma space we space get
rightwards double arrow open parentheses straight x over straight y close parentheses squared space equals space 1
end style

Answered by Yasmeen Khan | 27th May, 2019, 09:57: AM