Question

Find the value of the following : ${\left( { - 7} \right)^2}$.

Answer 1

Hint: To simplify this question , we need to solve it step by step. We must know about the exponents . The exponent of a number says how many times to use the number in a multiplication. Exponents can also be called as Power. For example = ${5^2}$could be called “$5$ to the power “$2$” that means the “$2$” says to use $5$ twice in a multiplication. So, 5 is the base and 2 is the power . For instance , ${5^2} = 5 \times 5 = 25$ In our given question , we are already given the value of , now we need to substitute the value of ‘a’ in the given expression we need to find , We will get our required result .

Complete step-by-step answer:
The question given to us is Find the value of the following : ${\left( { - 7} \right)^2}$.
This means we need to multiply $\left( { - 7} \right)$twice because power is $2$.
Also , keep in mind that when two negative numbers are multiplied then it becomes positive as in the fact ,
\[\left( { - ve} \right) \times ( - ve) = ( + ve)\]
For ${a^2}$= ${( - 7)^2} = ( - 7) \times ( - 7) = 49$
Therefore, the value of ${\left( { - 7} \right)^2} = 49$.
So, the correct answer is “49”.

Note: The expression is having hidden multiplication when written altogether .
 Keep in mind that when two negative numbers are multiplied then it becomes positive as in the fact
\[\left( { - ve} \right) \times ( - ve) = ( + ve)\].
Make sure the calculation in the question is done correctly.
If the base of the exponent number is prime, we cannot simplify the question further and answer is obtained by simply calculating the exponent value.