Вопрос

(9^-3 cdot 27^6)/(81^4)

4.6 (260 Голоса)

Ярополк

Экспертная проверка

профессионал · Репетитор 6 лет

To simplify the expression

, we can rewrite each term using powers of 3:

, and

.Substituting these values, we get:\( \frac{(3^2)^{-3} \cdot (3^3)^6}{(3^4)^4} \)Simplifying the exponents, we have:

Using the properties of exponents, we can combine the terms in the numerator:

Simplifying the exponent in the numerator, we get:

Using the properties of exponents again, we can simplify the fraction:

Finally, we can rewrite

, which is equal to

.Therefore, the simplified form of the expression