Question

4^√(6 + 10) × 4^(-6 - √(6))

Answer 1

256. Решение задания приложено

Answer 2

Ответ:

256.

Пошаговое объяснение:

Если в условии опечатка, то решение следующее:

4^(√(6) + 10) × 4^(-6 - √(6)) = 4^(√(6) + 10 - 6 - √(6)) =  4^4  = 256.

Answer 3

To simplify the expression, let's start by evaluating the exponents inside the square roots:

√(6 + 10) = √16 = 4

√(6) = √6

Now we can substitute these values back into the original expression:

4^√(6 + 10) × 4^(-6 - √(6)) = 4^4 × 4^(-6 - √6)

Next, let's simplify the exponents:

4^4 = 4 × 4 × 4 × 4 = 256

4^(-6 - √6) = 4^(-6) × 4^(-√6) = (1/4^6) × (1/4^√6) = (1/4096) × (1/4^√6) = 1/(4096 × 4^√6)

Now we can substitute these simplified values back into the expression:

4^√(6 + 10) × 4^(-6 - √(6)) = 256 × 1/(4096 × 4^√6)

Finally, we can simplify further:

256 × 1/(4096 × 4^√6) = 256/(4096 × 4^√6)

To evaluate this expression further, we would need the numerical value of 4^√6. However, without the exact value of √6, we cannot simplify it any further.