Question 469931
<pre>
{{{drawing(200,75,0,10,-1,1, locate(0,.5,


4w^(-1/5)=-8))}}}

Divide both side by 4

{{{drawing(200,75,0,10,-1,1, locate(0,.5,


w^(-1/5)=-2))}}}

Take the reciprocal of the exponent {{{-1/5}}},
which is -5 and raise both sides of the
equation to the -5 power:

{{{drawing(200,75,0,10,-1,1, locate(0,.5,


(w^(-1/5))^(-5)=(-2)^(-5)))}}}

Remove the parentheses by multiplying the exponents {{{expr(-1/5)(-5)}}} = 1

{{{w^1 = (-2)^(-5)}}}

{{{w = (-2)^(-5)}}}

We use the rule for making a negative exponent positive
by putting it under 1 and changing the sign of the exponent
to positive.

{{{drawing(200,75,0,10,-1,1, locate(0,.5,


w=1/(-2)^5 ))}}}

{{{drawing(200,75,0,10,-1,1, locate(0,.5,


w=1/((-2)(-2)(-2)(-2)(-2)) ))}}}

{{{drawing(200,75,0,10,-1,1, locate(0,.5,


w=1/(-32)))}}}

{{{drawing(200,75,0,10,-1,1, locate(0,.5,


w=-1/32 ))}}}

Edwin</pre>