The solution to proving the given value of indices expression shows that the solution is 17⁴.
What are Indices in mathematical concepts?
Indices show the degree to which a number is raised to the power by itself. This power shows how many times the value or number is multiplied by itself.
From the given information, we are to prove if:
- 17⁵ + 17⁴ is divisible by 18.
Using the law of indices:
Thus:
[tex]\mathbf{= \dfrac{17^4 \times (17^1 + 1)}{18}}\\[/tex]
[tex]\mathbf{= \dfrac{17^4 \times (18)}{18}}[/tex]
= 17⁴ (hence, proved)
Learn more about indices here:
https://brainly.com/question/10339517
