Question

(3 2/7)^8 * (7\23)6 =

Answer 1

Решение задания приложено

Answer 2

To solve the expression, let's first simplify the numbers:

1. Convert the mixed number (3 2/7) to an improper fraction: 3 + 2/7 = (3 * 7 + 2)/7 = 23/7

2. Convert the fraction (7/23) to its reciprocal: Reciprocal of 7/23 = 23/7

Now, the expression becomes:

(23/7)^8 * (23/7)^6

To simplify this, we can use the property of exponents that states: (a^m) * (a^n) = a^(m + n)

So in this case, we can add the exponents:

(23/7)^(8 + 6) = (23/7)^14

Now, the expression is simplified to:

(23/7)^14

To calculate this value, raise 23/7 to the power of 14:

(23/7)^14 ≈ 871.782

So, (3 2/7)^8 * (7/23)^6 is approximately equal to 871.782.