Question

((6¹¹×8¹¹):(4¹¹×12¹¹))×((2⁵×5²²-2×5²³):(25¹¹))​

Answer 1

Ответ:

Объяснение:

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Answer 2

To solve the expression you've provided:

((6¹¹×8¹¹):(4¹¹×12¹¹))×((2⁵×5²²-2×5²³):(25¹¹))

Let's break it down step by step:

1. Calculate the value inside the first set of parentheses:

   (6¹¹ × 8¹¹) / (4¹¹ × 12¹¹)

   Now, we can simplify this expression by dividing both the numerator and the denominator by 4¹¹:

   (6¹¹ × 8¹¹) / (4¹¹ × 12¹¹) = (6¹¹ × 2³ × 8¹¹) / (4¹¹ × 2³ × 12¹¹)

   We can further simplify by canceling out the common factors in the numerator and denominator:

   (3¹¹ × 2⁸) / (4¹¹ × 12¹¹)

2. Calculate the value inside the second set of parentheses:

   (2⁵ × 5²² - 2 × 5²³) / 25¹¹

   Let's factor out 2⁵ from both terms in the numerator:

   2⁵ × (5²² - 5²³) / 25¹¹

   Now, let's simplify the expression inside the parentheses by factoring out 5²²:

   2⁵ × 5²² × (1 - 5) / 25¹¹

   Simplify further:

   2⁵ × 5²² × (-4) / 25¹¹

   We can also cancel out a factor of 5²² in the numerator and denominator:

   2⁵ × (-4) / 25¹¹ = (-2⁵ × 4) / 25¹¹

Now, we have simplified both parts of the expression:

1. (3¹¹ × 2⁸) / (4¹¹ × 12¹¹)
2. (-2⁵ × 4) / 25¹¹

Now, we can multiply these two simplified parts together:

((3¹¹ × 2⁸) / (4¹¹ × 12¹¹)) × ((-2⁵ × 4) / 25¹¹)

To multiply fractions, multiply the numerators together and the denominators together:

(3¹¹ × 2⁸ × -2⁵ × 4) / (4¹¹ × 12¹¹ × 25¹¹)

Now, let's simplify the expression further:

In the numerator: 3¹¹ × 2⁸ × -2⁵ × 4 = -2⁵ × 2⁸ × 4 = -2¹³ × 4

In the denominator: 4¹¹ × 12¹¹ × 25¹¹ = 4¹¹ × 3¹¹ × 25¹¹ = 4¹¹ × 75¹¹

So, the simplified expression is:

(-2¹³ × 4) / (4¹¹ × 75¹¹)

You can leave it in this form, or if you want a numerical approximation, you can calculate it using a calculator.