Question

5^7*7^8/35^7=........

Answer 1

$\frac{5^{7} *7^{8}}{35^{7}}=\frac{5^{7}*7^{8}}{(5*7)^{7}}=\frac{5^{7}*7^{8}}{5^{7}*7^{7}}=7\\\\Otvet:\boxed{7}$

Answer 2

Ответ:

ответ на етот вопрос - 7

Answer 3

To simplify the expression 5^7 * 7^8 / 35^7, we can break it down step by step.

First, let's simplify the individual powers:

5^7 = 5 * 5 * 5 * 5 * 5 * 5 * 5 = 78,125

7^8 = 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 = 5,764,801

35^7 = (5 * 7)^7 = 5^7 * 7^7 = 78,125 * 7^7

Now we substitute these values back into the original expression:

(5^7 * 7^8) / 35^7 = (78,125 * 5,764,801) / (78,125 * 7^7)

The 78,125 in the numerator and the denominator cancel out, so we're left with:

= 5,764,801 / 7^7

To calculate 7^7, we multiply 7 by itself 7 times:

7^7 = 7 * 7 * 7 * 7 * 7 * 7 * 7 = 823,543

Substituting this value back into the expression:

= 5,764,801 / 823,543

Now we can perform the division:

= 7

Therefore, 5^7 * 7^8 / 35^7 equals 7.