Question

How do you evaluate \[{{7}^{2}}\] ?

Answer 1

Hint: In this question, we have to find \[{{7}^{2}}\] i.e., we have to find the square of seven. For solving this question, we should have a proper knowledge in exponents and radicals. Otherwise, for solving this question, we will just have to remember the square of the numbers or we can solve this using a simple multiplication or we can find the solution of this question using the table of 7.

Complete step by step answer:
Let us solve the question.
We have to evaluate \[{{7}^{2}}\] in the given question.
Here, ‘7’ is called the base and ‘2’ is called the exponent. The number \[{{7}^{2}}\] is read as 7 raised to the power of 2 or simply as the second power of 7.
As we know that, \[{{a}^{n}}=a\times a\times a\times a\times a..........n\text{ }times\]
It means from the above equation we can say that, \[{{7}^{2}}=7\times 7\] .
For the following process, we should know how to multiply two numbers.
Therefore, using the multiplication rule, we can say that 7 multiplied by 7 will be 49.
And, when 7 multiplied by 7 is 49, then we can say that
\[{{7}^{2}}=7\times 7=49\]

Hence, the evaluation of \[{{7}^{2}}\] is 49.

Note: We can solve this question by a different method. For that method, we have to know the table of 7.
The table of 7 is given below:
\[\begin{align}
  & 7\times 1=7 \\
 & 7\times 2=14 \\
 & 7\times 3=21 \\
 & 7\times 4=28 \\
 & 7\times 5=35 \\
 & 7\times 6=42 \\
 & 7\times 7=49 \\
 & 7\times 8=56 \\
 & 7\times 9=63 \\
 & 7\times 10=70 \\
\end{align}\]
From the table of 7, we can say that 7 multiplied by 7 is 49.
Hence, \[{{7}^{2}}=7\times 7=49\] .
We have another different method to solve this question.
For that method, we just have to remember the squares of some particular numbers.
Like,
\[\begin{align}
  & {{1}^{2}}=1 \\
 & {{2}^{2}}=4 \\
 & {{3}^{2}}=9 \\
 & {{4}^{2}}=16 \\
 & {{5}^{2}}=25 \\
 & {{6}^{2}}=36 \\
 & {{7}^{2}}=49 \\
 & {{8}^{2}}=64 \\
 & {{9}^{2}}=81 \\
 & {{10}^{2}}=100 \\
\end{align}\]
From the above table, we can find the value of \[{{7}^{2}}\] .
Therefore, the value of \[{{7}^{2}}\] is 49.