• Nov 27th 2011, 02:03 PM
math121
Simplify by factoring. Assume that all variables in a randicand represent positive real numbers and no randicands involve negative quatities raised to even powers.

Can anyone help :S?

5√2187x^8 y^29

p.s the 5 is supposed to be the 5th root to the numbers inside.
• Nov 27th 2011, 02:13 PM
skeeter
Quote:

Originally Posted by math121
Simplify by factoring. Assume that all variables in a randicand represent positive real numbers and no randicands involve negative quatities raised to even powers.

Can anyone help :S?

5√2187x^8 y^29

p.s the 5 is supposed to be the 5th root to the numbers inside.

$\sqrt[5]{3^7 \cdot x^8 \cdot y^{29}} = \sqrt[5]{3^5 \cdot 3^2 \cdot x^5 \cdot x^3 \cdot y^{25} \cdot y^4}$

Surely you have some idea what to do. I've done the difficult part for you, now finish it.
• Nov 27th 2011, 02:15 PM
Plato
Re: Can anybody help me with this math question? No idea what to do.
Quote:

Originally Posted by math121
Simplify by factoring. Assume that all variables in a randicand represent positive real numbers and no randicands involve negative quatities raised to even powers.
5√2187x^8 y^29

$\sqrt[5]{{2187x^8 y^{29} }} = \sqrt[5]{{3^7 x^8 y^{29} }} = 3xy^5 \sqrt[5]{{9x^3 y^4 }}$
• Nov 27th 2011, 02:25 PM
math121
I honestly do not know, thats why i am asking
• Nov 27th 2011, 02:40 PM
skeeter
Quote:

Originally Posted by math121
I honestly do not know, thats why i am asking

then you need to see some lessons on the topic ...

• Nov 27th 2011, 02:53 PM
math121
3xy^4?
• Nov 27th 2011, 03:01 PM
skeeter
Quote:

Originally Posted by math121
3xy^4?

Plato completed the problem for you in post #3
• Nov 27th 2011, 07:27 PM
bjhopper