Question

State whether the given statement is True or False: $x^0\times x^0=x^0÷x^0$ is true for all non-zero values of $x$.

• A. True
• B. False

Answer 1

The correct option is A True

Given statement: $x^0\times x^0=x^0÷x^0$ is true for all non-zero values of $x$.

Solve the L.H.S part:

$$\begin{gathered} x^0\times x^0=1\times 1\left[\because x^0=1\right] \\ \Rightarrow =1 \end{gathered}$$

Solve the R.H.S part:

$$\begin{gathered} x^0÷x^0=1÷1\left[\because x^0=1\right] \\ \Rightarrow =\frac{1}{1} \\ \Rightarrow =1 \end{gathered}$$

L.H.S = R.H.S.

Hence, the given statement is “True”.