Question

(2.4) power x =(0.24) to the power y then 1/x-1/y=??​

Answer 1

Answer:

($\frac{1}{x}$ - $\frac{1}{y}$) = $\frac{1} {z}$

Step-by-step explanation:

It think the question is like,

if $2.4^{x}$ = $0.24^{y}$ = $10^z$  , then find ($\frac{1}{x}$ - $\frac{1}{y}$)

so, from given,

=> $2.4^{x}$ = $10^z$

=> 2.4 = $10^{\frac{z}{x} }$   ------------ (1)

similarly, given,

=> $0.24^{y}$ = $10^z$

=> 0.24= $10^{\frac{z}{y} }$   ------------ (2)

(1)/(2) =>  (2.4/0.24) = $10^{\frac{z}{x} }$ / $10^{\frac{z}{y} }$

         =>         10 = $10^{\frac{z}{x} -\frac{z}{y}}$

         =>           1 = ($\frac{z}{x}$-$\frac{z}{y}$)

         =>           1 = z($\frac{1} {x}$-$\frac{1} {y}$)

         =>         ($\frac{1}{x}$ - $\frac{1}{y}$) = $\frac{1} {z}$