Question

Question 60

In the following question, fill in the blanks to make the statements true.

The value of $[3^{-1}\times 4^{-1}{]}^2$ is ___ .

Answer 1

Using law of exponents ,
$a^{-m}=\frac{1}{a^m}$

$\therefore [3^{-1}\times 4^{-1}{]}^2={(\frac{1}{3}\times \frac{1}{4})}^2={\left(\frac{1}{12}\right)}^2=\frac{1}{144}$

Hence,
$[3^{-1}\times 4^{-1}{]}^2=\frac{1}{144}$