Question 253307
<pre><font size = 4 color = "indigo"><b>
{{{(2x^3y^(-2))^2 / (x^(-2)y^3)}}}

give the 2 the understood exponent 1

{{{(2^1*x^3*y^(-2))^2 / (x^(-2)*y^3)}}}

Remove the parentheses on top by multiplying every inner
exponent by the outer exponent:


{{{(2^(1*2)x^(3*2)y^(-2*2))/(x^(-2)y^3)}}}

{{{(2^2x^6y^(-4))/(x^(-2)y^3)}}}

Rewrite {{{2^2}}} as {{{4}}}

{{{(4x^6y^(-4))/(x^(-2)y^3)}}}

Move the {{{y^(-4)}}} from the
top to the bottom by changing the sign of the
negative exponent to positive.

{{{(4x^6)/(y^4*x^(-2)*y^3) }}}

Now move the {{{x^(-2)}}} from the bottom
to the top by changing the sign of the
negative exponent to positive


{{{(4x^6*x^2)/(y^4*y^3)}}}

Add the exponents of the x's on top and add the
exponents of the y's on the bottom

{{{(4x^8)/(y^7)}}}

Edwin</pre>