My Math Forum Evaluating exponents

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April 26th, 2016, 07:38 AM   #1
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Evaluating exponents

Hi,

1. Why and how does the negative sign disappear?

2. Why do you not change the reciprocal of the exponent too?

3. How can (27/8 ) ^2/3 be rewritten as 27^2/3 / 8 ^ 2/3 ?

I've attached an image of the task below.

Thank you very much for your help!!
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 April 26th, 2016, 08:00 AM #2 Senior Member   Joined: Dec 2015 From: holland Posts: 162 Thanks: 37 Math Focus: tetration x^-1 = 1/x (a/b)^n = (a^n)/(b^n)
April 26th, 2016, 08:52 AM   #3
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Quote:
 Originally Posted by Hatschi1 Hi, I have a few questions about this task. 3. How can (27/8 ) ^2/3 be rewritten as 27^2/3 / 8 ^ 2/3 ?
You type it like this:

"(27/8)^(2/3) be rewritten as 27^(2/3)/8^(2/3)"

or

"(27/8)^(2/3) be rewritten as [27^(2/3)]/[8^(2/3)], as a couple of the allowable ways."

At any rate, you need grouping symbols around those fractional exponents.

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