Question

196. Запишите в виде степени произведение: 1) 8.8.8; ● ● ● 3) 7 7 7 7 .7; 5) 10 10 10; 7)3·3·3·3·3; О 2) 6 6 О 4) 15 6) 43 8) 8 8 8 8.8.8.8· 8; ● ● 9) х.х.ххххх.х - х; 11) (a + b) · (a + b) · (a + b) . (a + b); 12) (x - y) · (x - y) · (x - y). - . . - - ● ● 6 6; ● 15 15; 43 43 43; ● ● 0 0 ● 10) ab · ab · ab · ab · ab · ab · ab;​

Answer 1

To write the expressions as powers, let's simplify each expression:

1) 8.8.8 This can be written as 8^3 since we have three 8s multiplied together. So, 8.8.8 = 8^3

3) 7 7 7 7 . 7 This can be written as 7^5 since we have five 7s multiplied together. So, 7 7 7 7 . 7 = 7^5

5) 10 10 10 This can be written as 10^3 since we have three 10s multiplied together. So, 10 10 10 = 10^3

7) 3·3·3·3·3 This can be written as 3^5 since we have five 3s multiplied together. So, 3·3·3·3·3 = 3^5

2) 6 6 4 This can be written as 6^2·4 since we have two 6s and one 4 multiplied together. So, 6 6 4 = 6^2·4

4) 15 6 This can be written as 15^1·6 since we have one 15 and one 6 multiplied together. So, 15 6 = 15^1·6

8) 8 8 8 8 . 8 8 8 . 8 This can be written as 8^8 since we have eight 8s multiplied together. So, 8 8 8 8 . 8 8 8 . 8 = 8^8

9) х.х.ххххх.х - х This can be written as х^7 since we have seven хs multiplied together and subtracting one х. So, х.х.ххххх.х - х = х^7

11) (a + b) · (a + b) · (a + b) · (a + b) This can be written as (a + b)^4 since we have four (a + b) terms multiplied together. So, (a + b) · (a + b) · (a + b) · (a + b) = (a + b)^4

12) (x - y) · (x - y) · (x - y) + . . . + . + - + - + ● ● 6 6 This can be written as (x - y)^6 since we have six (x - y) terms multiplied together. So, (x - y) · (x - y) · (x - y) + . . . + . + - + - + ● ● 6 6 = (x - y)^6

10) ab · ab · ab · ab · ab · ab · ab This can be written as (ab)^7 since we have seven ab terms multiplied together. So, ab · ab · ab · ab · ab