SOLUTION: Solve 8 to the power of the square root of 7 (without a calculator) Sorry, not sure how to type that out on this keyboard! Calculator shows 245.104631 If I apply what I know

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Question 593547: Solve 8 to the power of the square root of 7
(without a calculator)
Sorry, not sure how to type that out on this keyboard!
Calculator shows 245.104631
If I apply what I know to solve this, I always get 256 not 245, help! For my daughter's pre-cal test, I'm STUMPED!!
Answer by jsmallt9(3758) (Show Source):
You can put this solution on YOUR website!
First you say "without a calculator" and then you say "calculator shows". This is confusing.

With an irrational square root involved I'm going to assume that a calculator is allowed. If so, then since most calculators (and calculator computer programs) have a "^" for exponentiation and have "(" and ")" keys to support use of parentheses, you can simply enter:
8^()
into the calculator.

In response to the note in your thank you message...
I have given this some thought and I cannot figure out a way to do this without finding some kind of root and/or logarithm at some point.

If I do think of something I will let you know. On the other hand, if you find a solution, I'd appreciate hearing about it. (Just "thank" me again.)