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One fourth value of 2 power 100 |
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Answer» Step-by-step explanation: Value of 2^{100}2 100 is 1.2676506002\times10^{30}1.2676506002×10 30 . Step-by-step explanation: We have to find value of 2^{100}2 100
We us the following law of exponent, (x^a)^b(x a ) b
ALSO, we know that value of 2^{10}2 10 is 1024. Consider, 2^{100}2 100
\implies(2^{10})^{10}⟹(2 10 ) 10
\implies(1024)^{10}⟹(1024) 10
\implies1,267,650,600,228,229,401,496,703,205,376⟹1,267,650,600,228,229,401,496,703,205,376 This value is very large. So, we express it in STANDARD form of exponent. \implies1.2676506002\times10^{30}⟹1.2676506002×10 30
Therefore, Value of 2^{100}2 100 is 1.2676506002\times10^{30}1.2676506002×10 30 . |
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