What is the value of $n$ such that $10^n = 10^{-6}\times \sqrt{\frac{10^{46}*10^{18}}{0.01}}$?
+2668 We have 10n=10−6×√1046∗10180.01
Recall that when you multiply exponents with the same base, you add the exponents, and when you divide exponents, you subtract the exponents.
Simplifying the square root gives us √106410−2, which can be simplified to √1066=1033.
Now we have 10n=10−6×1033.
Can you take it from here?
