Question 88117
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I am so lost with no hope of finding daylight on this one. 
Can someone break this down so that is easier to understand?
What expression raised to the fourth power is 81x^12y^8z^16

Let the answer be w

So 

{{{w^4}}} = {{{81x^12y^8z^16}}}

Raise both sides to the 1/4 power, which is the same as
fourth root and there are always 2 even roots of every
number but 0, one positive and one negative: 

{{{(w^4)^(1/4)}}} = ±{{{(81x^12y^8z^16)^(1/4)}}}

Write {{{81}}} as {{{3^4}}}

{{{w}}} = ±{{{(3^4x^12y^8z^16)^(1/4)}}}

Multiply each inner exponent on the right by the outer exponent {{{1/4}}}

{{{w}}} = ±{{{3^(4(1/4))x^(12(1/4))y^(8(1/4))z^(16(1/4))}}}

{{{w}}} = ±{{{3^1x^3y^2z^4}}}

{{{w}}} = ±{{{3x^3y^2z^4}}}

Edwin