Question

If m = 3 and n = 2, find the value of \[{m^n} - {n^m}\] .

Answer 1

Hint: We will substitute the values of m and n (which are already provided in the question) in the given equation \[{m^n} - {n^m}\] to get the required result.

Complete step by step answer:

In the question, we are given that the value of m = 3 and the value of n = 2.
We need to find the value of \[{m^n} - {n^m}\].
For this, we will put the values of m and n in the given equation for calculating its value.
On substitution, we get
$ \Rightarrow {3^2} - {2^3}$
Now, we know that ${3^2}$ is equal to 9, and ${2^3}$ is equal to 8.
Hence, putting these values in the above equation, we get
$ \Rightarrow 9 - 8 = 1$

Hence, we get the value of the given equation : \[{m^n} - {n^m}\]equal to 1.

Note: These questions are quite easy when it comes to solving the algebraic expressions. You are just required to put the values of the given variables into the required equation and you will get the answer.
Additional Information: In mathematics, an algebraic expression is an expression that is formed up with constants (integers), variables, and the algebraic operations performed such as addition, multiplication, subtraction, division, and many more other algebraic operations. The terms used in an algebraic expression combine to form an equation. It is also called an algebraic equation. It can be said that an algebraic expression is one or many other algebraic terms in a phrase to be particular. They can be of various types like monomial, binomial, polynomial depending upon the number of terms present in the given equation.