Q1) http://upload.wikimedia.org/math/9/1...24c2d487f2.png48x²

Q2) ³√ 54x^6

(all the integers are inside the square root )

Please answer them in steps

Thank you,

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- Jan 27th 2009, 07:34 AMmj.alawamiProperties of radicals exponents
Q1) http://upload.wikimedia.org/math/9/1...24c2d487f2.png48x²

Q2) ³√ 54x^6

(all the integers are inside the square root )

Please answer them in steps

Thank you, - Jan 27th 2009, 07:39 AMearboth
- Jan 27th 2009, 07:47 AMmj.alawami
Is this equation correct

http://regentsprep.org/Regents/mathb/3B1/RatPo5.gif

Why can't it be =x^3/1 since there is no value before the square root

Sorry,but can you please convert your working using fractions?

Thank you again - Jan 27th 2009, 07:56 AMearboth
- Jan 27th 2009, 07:59 AMmj.alawami
- Jan 27th 2009, 08:10 AMearboth
I'm not sure what you mean. There aren't any fractions involved. You only can convert the root sign into a rational exponent:

$\displaystyle

\sqrt{48 x^2} = \sqrt{16x^2 \cdot 3} = \sqrt{(4x)^2 \cdot 3} = \left((4x)^2 \cdot 3 \right)^{\frac12}

$

To change a cube root into a rational exponent use $\displaystyle \frac13$