Question

evaluate or simplify
1) 25/3^6 × 1/9^3 × 27^4/5^2​

Answer 1

$\bold{ANSWER≈}$

If 2,1=9; 4,2=18; 5,3=18; 6,3=27, then 9,4=?

9,4=45

The pattern is very apparent when you look at the difference of the numbers on the LHS.

2,1→2−1=1→1x=9

So by this method, multiply the difference by 9 to get the number on the RHS.

Let's see if this pattern holds up…

4,2→4−2=2→2x=18

5,3→5−3=2→2x=18

6,3→6−3=3→3x=27

So, evidently, the pattern holds up for all pieces of data.

Thus,

9,4→9−4=5→5x=?

5(9)=?

?=45