Question

(512^9)^4) : (64^9)^6

Answer 1

Решение:
(512^9)^4 : (64^9)^6=(8^9*64^9)^4 : 64^54=(8^36*64^36) : 64^54=8^36*64^(36-54)=8^36*64^(-18)=8^36*(8^2)^(-18)=8^36**8^(-36)=8^(36-36)=8^0=1

Ответ: 1

Answer 2

Смотри решение в приложении

Answer 3

To simplify the expression (512^9)^4 / (64^9)^6, you can use the properties of exponents.

First, let's simplify the bases:

(512^9)^4 = 2^(9*4)^9 = 2^36 (64^9)^6 = 2^(6 * 9 * 2)^9 = 2^108

Now, you can simplify the expression:

(2^36) / (2^108)

When you divide two numbers with the same base (in this case, both are 2), you subtract the exponents:

2^(36 - 108) = 2^(-72)

So, the simplified expression is 1 / (2^72).