Question

Write 2^ 100 as a power with the following base of 16 brianly.
Pls answer quickly

Answer 1

16^25

Explanation:

The applicable relation is ...

(a^b)^c = a^(bc)

2^100 = 16^x = (2^4)^x = 2^(4x)

Equating exponents, we have ...

100 = 4x

25 = x

Then 2^100 = 16^25.