Question

(2^-4)^6*2^15/4^6*8^-7*8^0​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To simplify the expression:

(2^-4)^6 * 2^15 / 4^6 * 8^-7 * 8^0

Let's break it down step by step:

1. Simplify each term individually:

   (2^-4)^6 = 2^(-4 * 6) = 2^(-24)

   2^15 = 32768

   4^6 = 4096

   8^-7 = 1 / 8^7 = 1 / 2097152 (since 8^7 = 2097152)

   8^0 = 1 (anything raised to the power of 0 is 1)

2. Now, plug these simplified values back into the expression:

   (2^(-24)) * 32768 / 4096 * (1 / 2097152) * 1

3. Simplify further:

   (2^(-24)) * 32768 / 4096 * (1 / 2097152) * 1

   = (2^(-24)) * 8 * (1 / 2097152)

4. Combine the constants:

   = 2^(-24) * (8 / 2097152)

5. Now, simplify the fraction:

   8 / 2097152 = 1 / (2097152 / 8) = 1 / 262144

6. Substitute this back into the expression:

   2^(-24) * (1 / 262144)

7. Now, simplify 2^(-24):

   2^(-24) = 1 / 2^24 = 1 / 16777216

8. Substitute this back into the expression:

   (1 / 16777216) * (1 / 262144)

9. Now, multiply the fractions:

   (1 / 16777216) * (1 / 262144) = 1 / (16777216 * 262144)

10. Simplify the denominator:

    16777216 * 262144 = 4398046511104

11. Finally, simplify the expression:

    1 / 4398046511104

So, the simplified expression is 1 / 4398046511104.