Question

-32c^15*(d^4)^5/24c^13*d^13

Answer 1

Ответ:  -4/3*c^2*d^33

Объяснение: переставим числа: -32c^15/24c^13 = -4/3*c^2

                                                             (d^4)^5*d^13 = (d^20)*d^13=d^33

Итого -4/3*c^2*d^33

Answer 2

To simplify the expression, we can first apply the power of a power rule which states that (a^m)^n = a^(m*n).

Using this rule, we can simplify the numerator as follows:

-32c^15*(d^4)^5 = -32c^15*d^20

Next, we can simplify the denominator by combining the c and d terms using the quotient rule which states that a^m/a^n = a^(m-n) when a is not equal to zero and n <= m.

Using this rule, we can simplify the denominator as follows:

24c^13d^13 = 83c^13d^13 = 83c^2c^11d^2d^11 = 24c^2d^2*(c^11*d^11)

Now we can simplify the expression by canceling out the common factors of c^2 and d^2 in the numerator and denominator, respectively:

-32c^15d^20 / 24c^13d^13 = -4/3 * c^(15-13) * d^(20-13) * c^(-2) * d^(-2)

Simplifying further, we get:

-4/3 * c^2 * d^7