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Answer :

SOLUTION

The given function is:

[tex]f(x)=(1.25^{\frac{x}{4}})^{16}[/tex]

This is simplified to give:

[tex]\begin{gathered} f(x)=1.25^{\frac{x}{4}\cdot16} \\ f(x)=1.25^{4x} \end{gathered}[/tex]

Therefore the equivalent form is:

[tex]f(x)=1.25^{4x}[/tex]