SOLUTION: 4^square root of 2 * 4^2square root of 2 ive gotten this far: (2^2)^square root of 2 * (2^2)2square root of 2 i am supposed to simplify this expression but unfortunately my t

Question 253615: 4^square root of 2 * 4^2square root of 2
ive gotten this far: (2^2)^square root of 2 * (2^2)2square root of 2
i am supposed to simplify this expression but unfortunately my teacher ran out of time and we had little time to review this...any help would be greatly appreciated!
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Is the problem ??? If so, then...

Start with the given expression.

Use the identity

Factor out the GCF in the exponent.

Combine like terms.

Rearrange the terms.

So
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
4^square root of 2 * 4^2square root of 2
-----------------------------
4^(sqrt(2) * 4^(2sqrt(2))
---
= 4[sqrt(2) + 2sqrt(2)]
---
= 4[3sqrt(2)]
= 4^3 * 4^(sqrt(2))
---
= 64*4^(sqrt(2))
========================
Cheers,
Stan H.
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