Вопрос
(9^-3 cdot 27^6)/(84^4)=
Решения
4.5
(193 Голоса)
Виктор
Экспертная проверка
элита · Репетитор 8 лет
Ответ
To simplify the expression
, we can start by expressing all the numbers in terms of their prime factors.First, let's rewrite
and
as powers of
:
Now, substitute these into the original expression:
Next, simplify the exponents:
So the expression becomes:
Combine the exponents in the numerator:
Now the expression is:
Next, express
in terms of its prime factors:
So,
Now the expression becomes:
Simplify the fraction by canceling out the common factors in the numerator and the denominator:
Finally, simplify the expression:
Thus, the simplified form of the expression is: