The answer to the problem. i don't know how to solve the exponents

When muliplying these terms you ADD the exponents so

7^0 * 7^4 * 7^16 = 7^(0+4+16) = 7^20 (NOTE you can any multiply when the base number, in this case 7, is the same)

so we simplify to

3^4 * 7^20

3^2 * 7^12

When dividing we SUBTRACT the exponents so 3^4 / 3^2 = 3^(4-2) = 3^2 and

7^20 / 7^12 = 7^8

so the answer is 3^2 * 7^8 < Option J

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.