Question

Question 67

In the following question, state whether the given statements are true (T) or false (F).

The multiplicative inverse of ${\left(\frac{3}{2}\right)}^2$ is not equal to ${\left(\frac{2}{3}\right)}^2$

Answer 1

False

a is called the multiplicative inverse of b,
$ifa\times b=1$
Put b $={\left(\frac{3}{2}\right)}^2$
So,
$a\times {\left(\frac{3}{2}\right)}^2=1$
$\Rightarrow a=(\frac{3}{2}{)}^{-2}=(\frac{2}{3}{)}^2$