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प्रश्न
A googol is the number 1 followed by 100 zeroes.
- How is a googol written as a power?
- How is a googol times a googol written as a power?
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उत्तर
a. 1 googol = `ubrace(1000"_ _ _"0)_(100 "times")` = 1 × 10100 ...[As there are 100 zeroes after 1]
b. Googol times googol means multiply googol by googol
∴ Required number = googol × googol = 10100 × 10100 ...[∵ 1 googol = 10100]
= `10^(100 + 100)` ...[∵ am × an = am + n]
= 100200
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