Use the Power of a Power Rule to have:

\(\displaystyle{f{{\left({x}\right)}}}={50}\cdot{\left({1.1}^{{3}}\right)}^{{x}}\)

Evaluate the power to have:

\(\displaystyle{f{{\left({x}\right)}}}={50}\cdot{\left({1.331}^{{x}}\right)}\)

The base of the function is 1.331 which is greater than 1.

This means that the function involves an exponential growth.

\(\displaystyle{f{{\left({x}\right)}}}={50}\cdot{\left({1.1}^{{3}}\right)}^{{x}}\)

Evaluate the power to have:

\(\displaystyle{f{{\left({x}\right)}}}={50}\cdot{\left({1.331}^{{x}}\right)}\)

The base of the function is 1.331 which is greater than 1.

This means that the function involves an exponential growth.