# Evaluating an Expression

• June 3rd 2008, 06:07 PM
Aerillious
Evaluating an Expression
I apologize for the lack of description in the title. I am not particularly sure how to describe this problem

Evaluate these expression without using a calculator.

A) -125^1/3
B) 81^0.25
C) 27 to the square root of 3

If someone could walk me through how to do these, I would greatly appreciate it.
• June 3rd 2008, 06:10 PM
o_O
$a^{\frac{m}{n}} = \sqrt[m]{a^{n}} = \left(\sqrt[m]{a}\right)$

For example, $-125^{\frac{1}{3}} = -\sqrt[3]{125^{1}} = -5$, assuming that you know $5^{3} = 125$

And are you sure you posted the last question correctly. I doubt you're expected to find $27^{\sqrt{3}}$ without a calculator xD.
• June 3rd 2008, 06:14 PM
Aerillious
No, I did not, I intended the square root symbol to be over the 27, if you understand me. I have not yet figured the math tags out.