Answer:
[tex]100(49.5)^{49}[/tex]
Step-by-step explanation:
Let's solve [tex]100c^2=4950[/tex]
Divide both sides by 100:
[tex]c^2=49.5[/tex]
Take the square root of both sides:
[tex]c=\sqrt{49.5}[/tex] (I did not keep the negative value because it doesn't matter since we are only considering even powers of [tex]c[/tex].)
So now let's plug it into:
[tex]100c^{98}[/tex]
[tex]100(\sqrt{49.5})^{98}[/tex]
[tex]100(49.5)^{49}[/tex]