Question

(1 11/13)^17:(1 11/13)^16*11/13​

Answer 1

ОТВЕТ

$\frac{264}{169}$

ОБЪЯСНЕНИЕ

Решение на фото.

Answer 2

To simplify the expression, let's convert the mixed numbers into improper fractions.

(1 11/13)^17 can be rewritten as ((13 + 11)/13)^17 = (24/13)^17.

(1 11/13)^16*11/13 can be rewritten as ((13 + 11)/13)^16 * (11/13) = (24/13)^16 * (11/13).

Now, let's simplify the expression:

(1 11/13)^17:(1 11/13)^16*11/13 = (24/13)^17 : (24/13)^16 * (11/13)

Since we have the same base (24/13) raised to different exponents, we can subtract the exponents:

= (24/13)^(17-16) * (11/13) = (24/13) * (11/13) = 264/169

So, (1 11/13)^17 : (1 11/13)^16 * 11/13 is equal to 264/169.