Question 660189
<pre>
{{{matrix(2,1,"",(4x^5y^(-1/4))^2(64y^(-3/2))^(-1/3)         )}}} 

Write the 4 as 2<sup>2</sup> and the 64 as 2<sup>6</sup>

{{{matrix(2,1,"",(2^2x^5y^(-1/4))^2(2^6y^(-3/2))^(-1/3)         )}}}

Remove the parentheses by multiplying each exponent inside
each pair of parentheses by the exponent just outside the
right parenthesis:



{{{matrix(2,1,"",2^(2*2)x^(5*2)y^(expr(-1/4)*2)2^(6*expr(-1/3))y^(expr(-3/2)*expr(-1/3))  )}}}

{{{matrix(2,1,"",2^4*x^10*y^(-1/2)*2^(-2)y^(1/2)  )}}}

To multiply we add the exponents of 2 and the exponents of y:

{{{matrix(2,1,"",2^2*x^10*y^(-1/2+1/2)  )}}}

{{{matrix(2,1,"",4*x^10*y^0  )}}}

{{{matrix(2,1,"",4*x^10*1  )}}}

4x<sup>10</sup>

Edwin</pre>