The answer to 12^{10}*6^{-8} is an integer. How many digits does it have?
Added by Kayla L.
Step 1
So we have: 12^{10} * 6^{-8} = (2^2 * 3)^{10} * (2 * 3^{-1})^{-8} = 2^{20} * 3^{10} * 2^{-8} * 3^{8} = 2^{12} * 3^{18} Now, we can use the fact that the number of digits in a positive integer n is given by the formula: digits(n) = floor(log10(n)) + 1 where Show more…
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