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January 12th, 2012, 09:52 AM   #1
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Test in a few hours! (fractional exponents)

Going over some concepts I'm not fully understanding. This one deals with fractional exponents.

Evaluate each, if possible:

1.) -(-32)^3/5

2.) 4th root of ((30pq)^7) -->(the 7 is inside the radical)



For 1.), I'm not sure if there is a simple way to reduce it. I tried figuring out and kept running into Newton's Method, which seems kind of relevant, but there has to be an easier way to simplify this.

I started doing it this way, which is really long and easy to make a mistake, but it's the only way I can visualize it right now: -5th root of ((-32)^3) I factored the large number and ended up with (2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2) so 2^11, since we're taking the 5th root, I removed 10 of the 2's in the radical, and I was left with:

4 times the 5th root (2). I'm probably way off, I don't know. I can't figure an easier way to do this.

For the 2nd problem, I have no idea. It's just too hard for me to simplify doing it this way, if that last way was even correct.
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January 12th, 2012, 10:06 AM   #2
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Re: Test in a few hours! (fractional exponents)

1.)

2.)
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January 12th, 2012, 10:12 AM   #3
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Re: Test in a few hours! (fractional exponents)

GOT IT! Thank you!!!
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