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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How could you write 8 as a power of 4?
Originally Posted by Ackbeet How could you write 8 as a power of 4? Aah okay, I get it. Thanks a lot!
You're welcome. Have a good one!
Originally Posted by Ackbeet How could you write 8 as a power of 4? Interesting, I was always taught $\displaystyle \displaystyle \sqrt[3]{8}^5 = (8^\frac{1}{3}})^5 = 2^5 = 32 = 2\times 16 = 2 \times 4^2$
Ah, but that doesn't quite cut it, I think. The whole number is a power of 4. So you'd have $\displaystyle 8^{\frac{5}{3}}=(4^{\frac{3}{2}})^{\frac{5}{3}}=4^ {\frac{5}{2}}.$
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