Question

How do you evaluate ${2^3}$?

Answer 1

Hint: We will first expand the given power by writing this in multiple multiplications. Now, we will just multiply them individually and then get the answer.

Complete step-by-step solution:
We are given that we are required to evaluate ${2^3}$.
We have 2 raised to the power 3, it means that we have multiplied 2 three times.
Now, we can write it as:-
$ \Rightarrow {2^3} = 2 \times 2 \times 2$
Now, we will club the first 2’s together and then, we get the following expression:-
$ \Rightarrow {2^3} = \left( {2 \times 2} \right) \times 2$
Now, if we solve the bracket, we will get the following expression:-
$ \Rightarrow {2^3} = 4 \times 2$
Now, we will finally simplify to get the following expression:-
$ \Rightarrow {2^3} = 8$

Hence, the answer is 8.

Note: The students must know that multiplication is associative. Therefore, it does not matter whether we multiply the first two numbers or if we multiply the last 2 numbers, we will irrespective of that get the same answer.
We use this kind of representation, where we raise a number to some power is a simple representation, which makes a number to be read easily for example if you need to write 10000000000, that is difficult to read, you will have to count the zeros in it and then see what number this forms but if you write it in the form ${10^{10}}$, we get an easier picture of the number and we instantly can read it without any issue.
Whenever you are given any number raised to any power, for example: say if a is raised to the power of b, that represents that you have to multiply the number as many times has the power. If we talk about the example, we have to multiply the number a for b times to get the required answer.