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

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.