Question

4^100-12^2 делим на 4^99-100 помогите пж

Answer 1

1)4^100-9/4^97-100

.............

Answer 2

ответ: 1.60693804e60

Answer 3

To simplify the expression (4^100 - 12^2) divided by (4^99 - 100), we can factor out common terms from both the numerator and the denominator.

Step 1: Factor the numerator and denominator.

Numerator: 4^100 - 12^2 can be written as (2^2)^100 - 12^2 Now, using the property (a^m)^n = a^(m*n), we get: (2^200) - 12^2

Denominator: 4^99 - 100 can be written as (2^2)^99 - 100 Now, using the property (a^m)^n = a^(m*n), we get: (2^198) - 100

Step 2: Simplify the expression.

Now, our expression becomes: (2^200) - 12^2 ÷ (2^198) - 100

Step 3: Factor out common terms again.

We can see that both the numerator and the denominator have a common factor of (2^198). Let's factor it out:

(2^198) * [(2^2)^2 - 1]

Step 4: Evaluate the expression.

Now we have: (2^198) * (4^2 - 1)

(2^198) * (16 - 1)

(2^198) * 15

Therefore, the simplified expression is 15 times 2 to the power of 198, or simply:

15 * 2^198