Find the value of k in 7^5 *7^6 = 7^3 * 7^k

k = 8

Step-by-step explanation:

If you have 7 to the power (a + b) equals 7 to the power (x + y), then (a + b) and (x + y) have to equal each other, because the base (7) is the same on both sides of the equation.

5 + 6 = 3 + k

11 = 3 + k

11 - 3 = 3 - 3 + k

  8    =   k

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

answer. d.289 hope that