Question

one fourth value of 2 power 100​

Answer 1

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

.

Answer 2

Answer:

2500

step by step explanation:

100^2 =10000

1/4÷10000=2500