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Finding the Value of an Expression

If m=3 and ...

Question

If $m = 3$ and $n = 2$ . Find the value of $m^{n} - n^{m}$

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Solution

In the given algebraic expression $m^{n} - n^{m}$ , we substitute $m = 3$ and $n = 2$ as shown below:

$m^{n} - n^{m} (3)^{2} - (2)^{3} = 9 - 8 = 1$

Hence, $m^{n} - n^{m} = 1$ .

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