Question

Find the value of: \[{2^6}\]

Answer 1

Hint:
Here, we will use the concept of the exponents. First we will identify the base and the exponent. Then we will multiply the base number to itself the number of times the value of the exponent to get the value of the given expression.

Complete step by step solution:
Given expression is \[{2^6}\].
So, we can clearly see that the base of the expression is equal to 2 and the exponent of the expression is equal to 6.
So, we know that to expand this expression i.e. expression with the exponents we will multiply the base number with itself the number of times the value of its exponent. Therefore the given expression becomes, we get
\[{2^6} = 2 \times 2 \times 2 \times 2 \times 2 \times 2\]
Now we will simply apply the multiplication operation in the above expression to get the value of the expression. Therefore, we get
\[ \Rightarrow {2^6} = 64\]

Hence, the value of the given expression i.e. \[{2^6}\] is equal to 64.

Note:
Exponent is the defined as the number which represents how many times a number is being multiplied to itself. If the exponent of a number is zero then the value of the number is 1 i.e. \[{a^0} = 1\]. A Cube of a number is defined as the number which is being multiplied by itself three times. We don’t have to confuse the cube with the square. The square of a number is defined as the number which is being multiplied by itself two times.
Square of a number \[ = {\rm{Numbe}}{{\rm{r}}^2}\]
Cube of a number \[ = {\rm{Numbe}}{{\rm{r}}^3}\]
We generally pronounce it as a number raised to the power two or three according to the given condition.