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Mathematical expression: (4+8/ -3)• 6^2Algebraic expression:P(1 + r) ^nWhat do these expressions have in common? What are their differences?

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SOLUTION

We want to know what the expressions

[tex]\begin{gathered} (\frac{4+8}{-3})\times6^2 \\ P(1+r)^n \end{gathered}[/tex]

What both expressions have in common is that they have an item raised to a power.

Their differences is that

[tex](\frac{4+8}{-3})\times6^2[/tex]

is not an exponential expression and it has 6 raised to power 2 and can be simplified directly to give a real number.

But

[tex]P(1+r)^n[/tex]

is an exponential expression. It has (1 + r) raised to power n. It cannot be simplified directly. For it to be simplified directly we need to know the values of P, r and n.

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