Seems like a simple question but I need some help understanding the steps.

How would I write this as a power of 4:

[Math]\sqrt[3]{8}^5[/tex]

Steps to tackle such problems would be greatly appreciated!

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- Jan 6th 2011, 01:06 PMyoungb11Simple exponential equation help
Seems like a simple question but I need some help understanding the steps.

How would I write this as a power of 4:

[Math]\sqrt[3]{8}^5[/tex]

Steps to tackle such problems would be greatly appreciated! - Jan 6th 2011, 01:08 PMAckbeet
How could you write 8 as a power of 4?

- Jan 6th 2011, 01:15 PMyoungb11
- Jan 6th 2011, 01:16 PMAckbeet
You're welcome. Have a good one!

- Jan 6th 2011, 01:24 PMpickslides
- Jan 6th 2011, 01:27 PMAckbeet
Ah, but that doesn't quite cut it, I think. The whole number is a power of 4. So you'd have

$\displaystyle 8^{\frac{5}{3}}=(4^{\frac{3}{2}})^{\frac{5}{3}}=4^ {\frac{5}{2}}.$