Question

(3*2,5^2)^5 (3*2,5^3)^4 ------------------------------------ = (9*2,5^11)^2

Answer 1

Ответ: 243.................

Answer 2

To simplify the expression, let's perform the calculations step by step.

First, let's simplify the numerator:

(3 * 2.5^2)^5 = (3 * 6.25)^5 = 18.75^5

(3 * 2.5^3)^4 = (3 * 15.625)^4 = 46.875^4

Now, let's rewrite the denominator:

(9 * 2.5^11)^2

Next, let's simplify the numerator and denominator further:

18.75^5 = 18.75 * 18.75 * 18.75 * 18.75 * 18.75

46.875^4 = 46.875 * 46.875 * 46.875 * 46.875

Now, let's rewrite the denominator:

(9 * 2.5^11)^2 = (9 * 488281.25)^2

Now, we can perform the calculations:

Numerator: 18.75 * 18.75 * 18.75 * 18.75 * 18.75 ≈ 244140.625

Denominator: (9 * 488281.25)^2 = (4394531.25)^2 ≈ 1.9308096e+13

Finally, we can divide the numerator by the denominator:

244140.625 / 1.9308096e+13 ≈ 1.264918e-05

So, the simplified form of the expression is approximately 1.264918e-05.