Exponential expressions illustrate the concept of repeated multiplication. Each exponential expression is composed of a base and an exponent. The base is the figure that is being multiplied, while the exponent signifies the number of times the base is factored in. Take for instance, in 2^3, 2 is identified as the base and 3 acts as the exponent.
| Topic | Problem | Solution |
|---|---|---|
| None | 10. The graph of $y=f(x)=b^{x}$, where $b>1$, is … | First, let's understand the meaning of the problem. We are given a function $y=f(x)=b^x$, where $b>… |
| None | Find the 5 th root of \( 16+16 \sqrt{3} i \) that… | Convert to polar form: \( 32(\cos \theta + i \sin \theta) \) |
| None | Below is the graph of $y=e^{x}$. Transform it to … | The transformation of the graph \(y=e^{x}\) to \(y=e^{x+6}-2\) involves two steps. First, the graph… |
| None | The rat population in a major metropolitan city i… | The rat population in a major metropolitan city is given by the formula \(n(t)=27 e^{0.04 t}\) wher… |
| None | Describe verbally the transformations that can be… | The function g(x) can be obtained from the function f(x) by applying two transformations. |