Answer:
a=2
Step-by-step explanation:
Well, first let us find product of the first 8 positive integers, which is 1*2*3*4*5*6*7*8=40320. It can also be written as 40320=
*3²*5*7. From the formula above, it can be extracted that if a=2, n can be any number from 3 to 7 (considering that a and n are not equal and greater than 1).
In (1) a^n=64 and in (2) n=6 so it can be written as 2^6=64 so a=2 and n=6. So the value of a is 2. a=2
Let x be 1st and y the 2nd number in the solution:
x=y+21
.2x=y
x=.2x+21
.8x=21
x=26.25 larger number
y=5.25 smaller number
You just multiply the numerators of the fractions and the denominators of the fractions together, and then reduce the fraction to simplify it from that point on.