Question

4x * (6x ^ 15) ^ 4 / ((6x ^ 10) ^ 6) при х= 45​

Answer 1

Ответ:    5 .

Объяснение:

      Спочатку спростимо вираз :

  [ 4x * ( 6x¹⁵ )⁴ ] / [ ( 6x¹⁰ )⁶ ] = ( 4x * 6⁴ * x⁶⁰ )/( 6⁶ * x⁶⁰ ) = x/9 ;

  якщо  х = 45 , то  x/9 = 45/9 = 5 .

Answer 2

To simplify the expression 4x * (6x^15)^4 / ((6x^10)^6) when x = 45, you can follow these steps:

1. Substitute x with 45:

   4 * 45 * (6 * 45^15)^4 / ((6 * 45^10)^6)

2. Simplify the exponents:

   4 * 45 * (6^4 * 45^(154)) / (6^6 * 45^(106))

3. Further simplify:

   4 * 45 * (6^4 * 45^60) / (6^6 * 45^60)

4. Now, you can cancel out common factors:

   (4/6) * (45/45) * (6^4/6^6) * 45^60

5. Simplify the remaining terms:

   (2/3) * (1) * (6^4/6^6) * 45^60

6. Simplify the powers of 6:

   (2/3) * 1 * (1/(6^2)) * 45^60

7. Calculate 6^2:

   (2/3) * 1 * (1/36) * 45^60

8. Finally, calculate 1/36:

   (2/3) * (1/36) * 45^60

Now, calculate the numerical value:

(2/3) * (1/36) * 45^60 ≈ 2.31679e+67

So, when x = 45, the simplified expression is approximately 2.31679e+67.