A GOOGOL IS THE NUMBER 1 FOLLOWED BY 100 ZEROS .
a) WHAT IS A GOOGL WRITTEN AS A POWER ?
b) WHAT IS A GOOGOL TIMES A GOOGOL WRITTEN AS A POWER ?
a) 10^100
b) 10^200
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a) To write a googol as a power, we need to express it in exponential notation. The number 1 followed by 100 zeros can be represented as 10^100. In exponential notation, the base (10) is raised to the power of the exponent (100), which gives us a googol.
b) To find the power of a googol times a googol, we need to multiply their exponents. The exponent of a googol is 100, and since we are multiplying two googols, we can express it as (10^100) * (10^100).
Using the rule of exponentiation for multiplying powers with the same base, we add the exponents. Therefore, the exponent of the product is 100 + 100 = 200.
So, a googol times a googol written as a power is (10^100) * (10^100) = 10^200.