Question

The algebraic expression for the statement \[x\] multiplied by itself is ____.
A. \[x\]
B. \[{x^3}\]
C. \[{x^2}\]
D. \[2x\]

Answer 1

Hint: Here, we will first use the multiplication rule of variables, that is, when the variables are the same, then multiplying them together compresses them into a single factor, that is, variable. So we can simply multiply the same bases by merely adding their exponents.

Complete step-by-step answer:
Given that the statement is \[x\].

First, we will multiply the given statement \[x\] by the statement itself, that is, \[x\] multiplied by itself.

\[ \Rightarrow x \times x\]

Since we know that the bases of the above equation are the same, so will multiply the bases by merely adding their exponents.

We will now find the product of the above expression by multiplying the bases and adding the exponential terms.

\[
   \Rightarrow {x^{1 + 1}} \\
   \Rightarrow {x^2} \\
\]

Thus, we have when \[x\] multiplied by the statement itself is equal to \[{x^2}\].

Therefore, the algebraic expression for the statement \[x\] multiplied by itself is \[{x^2}\].

Hence, the option C is correct.

Note: In solving these types of questions, you should be familiar with the concept of algebraic expression of any statement and the multiplication of variables. Students should also find the product of the given variables carefully for more accuracy. We in a hurry may commit a mistake in multiplication of terms in multiplication so we need to be careful.