There is a way to do this... I learned it from this post. Using the exact same method...
x = 98^68
log x = log 98^68
log x = 68 log 98
log x ≈ 135.40337
10^(log x) ≈ 10^(135.40337)
x ≈ 10^(0.40337 + 135)
x ≈ 10^0.40337 * 10^135
x ≈ 2.531 * 10^135
And here is WolframAlpha's answer.