Question

5^√2*5^√16 помогите!

Answer 1

Ты ошибся в примере¿

Answer 2

To simplify the expression 5^√2 * 5^√16, you can use the properties of exponents. Remember that when you multiply two numbers with the same base, you can add their exponents.

Let's simplify step by step:

1. 5^√2 can be written as 5^(2^(1/2)) since √2 is the same as 2^(1/2).

2. 5^√16 can be written as 5^(16^(1/2)) since √16 is the same as 16^(1/2).

Now, apply the property of exponents:

5^(2^(1/2)) * 5^(16^(1/2)) = 5^(2^(1/2) + 16^(1/2))

We cannot simplify the sum of the exponents (2^(1/2) + 16^(1/2)) any further since they are not like terms. Therefore, the final simplified expression is:

5^(2^(1/2) + 16^(1/2))