Answer:
2
Explanation:
To simplify the expression (2^100 + 4^50)/16^25, let's break it down step by step:
First, let's simplify the numerator:
2^100 can be written as (2^2)^50, which is equal to 4^50.
So the numerator simplifies to 4^50 + 4^50.
Now, let's simplify the denominator:
16^25 can be written as (2^4)^25, which is equal to 2^100.
Now, we can rewrite the expression as:
(4^50 + 4^50) / 2^100
Since the bases are the same, we can combine the terms in the numerator:
2 * 4^50 / 2^100
Next, we can simplify the numerator further:
2 * (2^2)^50 / 2^100
Using the rule of exponentiation, we can multiply the exponents:
2 * 2^(2 * 50) / 2^100
Simplifying the exponent, we have:
2 * 2^100 / 2^100
Now, we can cancel out the common terms in the numerator and denominator: 2
Therefore, the simplified expression is 2.