SOLUTION: I wasn't sure how to classify my question, but here it is. Fill in the blank in the following pattern: 0,1,64,243,256,125,____,7,1. The answer is 36, but I can't solve it. I

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: I wasn't sure how to classify my question, but here it is. Fill in the blank in the following pattern: 0,1,64,243,256,125,____,7,1. The answer is 36, but I can't solve it. I      Log On


   

Question 102079: I wasn't sure how to classify my question, but here it is. Fill in the blank in the following pattern: 0,1,64,243,256,125,____,7,1. The answer is 36, but I can't solve it. I think it has something to do with squaring or cubing the numbers, but I can't figure it out. Please help. Thanks.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let’s start at 64 and work our way down to see if there's a pattern.
64+=+2%2A2%2A2%2A2%2A2%2A2=2%5E6
243+=+3%2A3%2A3%2A3%2A3+=+3%5E5
256+=+4%2A4%2A4%2A4+=+4%5E4
I think there’s a pattern
Let’s go back to the beginning
0+=+0%5E8
1+=+1%5E7
64+=2%5E6
243+=+3%5E5
256+=+4%5E4
125+=+5%5E3
___+=+6%5E2
7+=+7%5E1
1+=+8%5E0
Your answer is 6%5E2 or 36.