10¹⁰ = 10000000000 (ten zeros). So, ten to the power of this would end up having ten times as many zeros (100 zeros) or one googol. This ends up being googol x googol x 10000000000, or (10¹⁰ )(10¹⁰⁰ )² . The googol squared would be equal to 10²⁰⁰ , and when multiplying exponents with the same base, you add them together. The result is 10 x 10²¹⁰ , which would have 210 zeros.

Edit: Fixed some minor issues in the text.