Hello!
We have the following expression:
![\bf{f^4*f^8}](https://img.qammunity.org/2023/formulas/mathematics/high-school/b9wnese8m6afiwmuv9gc9c0zn21cbs1wk6.png)
Recall the Properties of Exponents:
![\bold{a^ma^n=a^(m+n)}](https://img.qammunity.org/2023/formulas/mathematics/high-school/224a1yfvgwoipm4y7vpd6xo7l0ru2bfe2s.png)
According to the property, if we have the same bases multiplied together, then we just add their exponents:
![\bf{f^4f^8=f^(4+8)}](https://img.qammunity.org/2023/formulas/mathematics/high-school/40wn4x77bngm36lz7qxiojhl0xd6j1as3w.png)
Simplify:
![\bf{f^(12)}](https://img.qammunity.org/2023/formulas/mathematics/high-school/ca30gbt578u298m9rr94ksa73iwvzos22g.png)
Hope everything is clear.
Let me know if you have any questions!
Knowledge is Power!