Question

( 5^(1+ √2) )^(1-√2)

Answer 1

Ответ: 0,2

Пошаговое объяснение:

( 5^(1+ √2) )^(1-√2)=5^((1+ √2) ·(1-√2))=5^(1-2)=5^(-1)=1/5=0,2

Answer 2

Ответ:

0,2

Пошаговое объяснение:

( 5^(1+ √2) )^(1-√2)=5^((1+ √2) ·(1-√2))=5^(1-2)=5^(-1)=1/5=0,2

Answer 3

To simplify the expression, let's break it down step by step:

Given expression: $(5^{1 + \sqrt{2}})^{1 - \sqrt{2}}$

First, let's simplify the exponent: $1 - \sqrt{2}$.

Now, let's calculate the value of $5^{1 + \sqrt{2}}$:

$5^{1 + \sqrt{2}} \approx 19.55$

Now, we'll raise this value to the power of $1 - \sqrt{2}$:

$19.55^{1 - \sqrt{2}} \approx 0.088$

So, the value of the expression $(5^{1 + \sqrt{2}})^{1 - \sqrt{2}}$ is approximately 0.088.