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The future-value formula $FV = PV(1+r)^n$ is rearranged by dividing both sides by the growth factor $(1+r)^n$. This isolates PV on one side, resulting in the present-value formula $PV = \frac{FV}{(1+r)^n}$.

Conditions: The original formula $FV = PV(1+r)^n$ holds true.; $(1+r)^n$ is not zero (which is true for standard positive interest rates).

The future-value formula $FV = PV(1+r)^n$ is rearranged by dividing both sides by the growth factor $(1+r)^n$. This isolates PV on one side, resulting in the present-value formula $PV = \frac{FV}{(1+r)^n}$.

Conditions: The original formula $FV = PV(1+r)^n$ holds true.; $(1+r)^n$ is not zero (which is true for standard positive interest rates).