Question

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

Answer 1

We want to know what the expressions

`\begin{gathered} ((4+8)/(-3))*6^2 \\ P(1+r)^n \end{gathered}`

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

Their differences is that

`((4+8)/(-3))*6^2`

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

But

`P(1+r)^n`

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.