Question

The reciprocal of $x^{-1}$ is $\frac{1}{x}$ State whether the statement is true (T) or false (F).

• A. True
• B. False

Answer 1

The correct option is B False

Step: Find the reciprocal of $\frac{1}{x}$

Solve $x^{-1}$using the law of exponents.

$x^{-1}$$=\frac{1}{x}$ ( As $x^{-n}=\frac{1}{x^n}$)

Reciprocal of $\frac{1}{x}$$\frac{1}{\left({\displaystyle \frac{1}{x}}\right)}=1\times \frac{x}{1}=x$

The Reciprocal of $\frac{1}{x}$is $x$

Hence, the given statement is $false$