Track / Stage 4 / 35 of 340 #295 of 1964

14. Given the numbers $5^{1971}$ and $2^{1971}$. They are written consecutively. What is the number of digits in the resulting number?

Your answer

Check

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Show the answer

Official solution

71.14. Answer. 1972 digits, since the product of these numbers is equal to $10^{1971}$.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.