Question

if x =(4/5) power -2 ÷ (1/2) power 2 ,then find the value of x power -1​

Answer 1

Answer:

x^-1 = 4/25

Step-by-step explanation:

Given

$x=(\frac{4}{5})^{-2} /(\frac{1}{2})^2$

$\implies x=(\frac{5}{4})^{2} /(\frac{1}{2})^2$

$\implies x=(\frac{5}{4})^{2} \times 2^2$

$\implies x=(\frac{5^2}{4^2})\times 2^2$

$\implies x=\frac{25}{16}\times 4$

$\implies x=\frac{25}{4}$

Therefore,

$\implies x^{-1}=(\frac{25}{4})^{-1}$

$\implies x^{-1}=\frac{4}{25}$