Question

(3²+1)(3⁴+1)(3⁸+1)(3¹⁶+1)(3³²+1)- ×3⁶⁴ a) B) c)-D) E)

Answer 1

Ответ: E) -1/8

Пошаговое объяснение:

Answer 2

To evaluate the expression (3²+1)(3⁴+1)(3⁸+1)(3¹⁶+1)(3³²+1) - 3⁶⁴, let's break it down step by step:

First, let's calculate the values within the parentheses:

(3² + 1) = 9 + 1 = 10 (3⁴ + 1) = 81 + 1 = 82 (3⁸ + 1) = 6561 + 1 = 6562 (3¹⁶ + 1) = 65536 + 1 = 65537 (3³² + 1) = 4294967296 + 1 = 4294967297

Now, let's substitute these values back into the expression:

(10)(82)(6562)(65537)(4294967297) - 3⁶⁴

Calculating this expression directly might be challenging due to the large numbers involved. However, we can make use of the fact that the last term, 3⁶⁴, is being subtracted. Since it is significantly smaller than the other terms, we can neglect it in our calculation:

(10)(82)(6562)(65537)(4294967297) ≈ (10)(82)(6562)(65537)(4294967297)

Now, let's evaluate the expression:

≈ 1.199784159 × 10^32

Therefore, the answer is not one of the given options (A, B, C, D, or E). The approximate value of the expression is 1.199784159 × 10^32.