Question

Find the square of 2.

Answer 1

Hint: The square of any real number is defined as the multiplication of the number with itself two times. Using symbols, if $a$ is a real number then the square of $a$ is denoted as ${{a}^{2}}$ and calculated as ${{a}^{2}}=a\times a$. Here in ${{a}^{2}}$ , $a$ is called base and 2 is called exponent or power. When the exponent is 2, ${{a}^{2}}$ is also read as $a$ to the power $2$.

Complete step-by-step solution:
As given in the body of the solution we have to find a square of 2. So we shall multiply 2 with 2 to find out the square of 2.
To find the square of that is 2 we shall multiply 2 with itself. The calculation of the same will give will give us the final result
So the square of 2 is ${{2}^{2}}=2\times 2=4$ .
We can also find out the square of a two or three-digit number. If we take 111 as an example for squaring of three-digit numbers then, the square of 111 is $111\times 111=12321$.
So the asked the result is found to be 4.

Note: Similarly you can determine the cube of 2. Here we have to multiply $a$ three times with itself. The cube any real number $a$ is defined as ${{a}^{3}}=a\times a\times a$. Here $a$ is the base and 3 is the exponent. We also read ${{a}^{3}}$ as $a$ to the power 3. Similarly we also can find the value of ${{a}^{m}}$ with $m$ as a positive integer where $a$ is multiplied with itself $m$ times. We also read ${{a}^{m}}$ as $a$ to the power $m$. We calculate ${{a}^{m}}$ as $a\times a\times a...(m\text{ times})$.