Question

Представьте выражение (9^2)^8*(2^7)^2*3^2/(3^15)^2 *2*8^3 в виде степени с основанием 6

Answer 1

I hope this helps you

Answer 2

Выражение `(9^2)^8*(2^7)^2*3^2/(3^15)^2*2*8^3` можно представить в виде степени с основанием 6. Давайте посчитаем его.

Шаг 1:

Начнем с упрощения выражения. Возведение в степень имеет приоритет над умножением и делением, поэтому сначала возводим числа в степень.

`(9^2)^8` равно 9 в степени 2, возведенное в степень 8. `(2^7)^2` равно 2 в степени 7, возведенное в степень 2. `8^3` равно 8 в степени 3.

Шаг 2:

Выполним вычисления:

`(9^2)^8` равно 81 в степени 8. `(2^7)^2` равно 128 в степени 2. `8^3` равно 512.

Шаг 3:

Теперь умножим и разделим полученные значения:

`(81^8)*(128^2)*3^2/(3^15)^2*2*512`

Шаг 4:

Продолжим упрощение:

`(81^8)` равно 81 в степени 8. `(128^2)` равно 128 в степени 2. `(3^2)` равно 3 в степени 2. `(3^15)^2` равно 3 в степени 15, возведенное в степень 2.

Шаг 5:

Выполним вычисления:

`(81^8)` равно 43046721. `(128^2)` равно 16384. `(3^2)` равно 9. `(3^15)^2` равно 847288609443, так как 3 в степени 15 равно 14348907, а его квадрат равен 205891132094649.

Шаг 6:

Теперь умножим и разделим полученные значения:

`(43046721)*(16384)*(9)/(847288609443)*2*512`

Шаг 7:

Выполним вычисления:

`(43046721)*(16384)*(9)/(847288609443)*2*512` равно 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000