Question

If $a = 3$, find the values of ${a^2}$and ${2^a}$.?

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 exponent of a number says how many times to use the number in a multiplication. Exponents can also be called as Power.
The question given to us is to find the values of ${a^2}$and ${2^a}$, if $a = 3$.
So, we need to substitute the value $a = 3$ in ${a^2}$ and ${2^a}$respectively .
For ${a^2} = {3^2} = 3 \times 3 = 9$ .
For ${2^a} = {2^3} = 2 \times 2 \times 2 = 8$
Therefore, if $a = 3$ the values of ${a^2} = 9$and ${2^a} = 8$.

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.
To calculate the simplified answer try to break out the steps from the question.
Always check the required formula exponent rule and try to cancel out the common factors.
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.
Do not forget to verify the exponents solved correctly .
Always try to cancel out the similar terms for the solution of simplification .