Question

(-1/2)в 50 степени÷(-1/2)в 49 степени×(-1/2)в 4 степени

Answer 1

И на заметку: при делении степени вчитаются, а при умножении складываются

Answer 2

To simplify the expression, let's start by simplifying each term:

1. (-1/2) raised to the 50th power: (-1/2)^50 = 1/2^50

2. (-1/2) raised to the 49th power: (-1/2)^49 = -1/2^49

3. (-1/2) raised to the 4th power: (-1/2)^4 = 1/2^4 = 1/16

Now, let's put the terms together:

(1/2^50) ÷ (-1/2^49) × (1/16)

To divide by a fraction, we can multiply by its reciprocal:

(1/2^50) × (-2^49) × (1/16)

Now, we can use the rule that (a^m) × (a^n) = a^(m+n):

1/2^(50+49) × (1/16)

Now, simplify the exponents:

1/2^99 × (1/16)

Now, we can rewrite 1/16 as 2^(-4):

1/2^99 × 2^(-4)

Next, apply the rule that (a^m) × (a^n) = a^(m-n):

2^(4-99)

Since 4 is greater than 99, the exponent will be negative:

2^(-95)

Thus, the simplified expression is:

1 / 2^99 × 2^(-4) = 2^(-95)

And that is the final answer.