Question 74022
Please help me simplify using the rules of exponents!
#26
{{{(2x^(-1)y^2)^(-3)}}} Change the outermost negative exponent (-3) to a positive value by putting the expression down in the denominator, thus:
{{{1/(2x(-1)y^2)^3}}} Now change the negative exponent of x (-1) to a positive vlue by putting up in the numerator, thus:
{{{(x/2y^2)^3}}} Finally, multiply the exponent of every factor inside the parentheses by the outermost expont (3).
{{{x^3/8y^6}}}

#38
{{{((-2)y^2/x)^(-3)}}} Here you can change the outermost negative exponent (-3) to a positive value simply by inverting the expression, thus:
{{{(x/-2y^2)^3}}} Finally, multiply the exponent of evey factor inside the parentheses by the outermost exponent (3).
{{{x^3/-8y^6}}} or {{{-x^3/8y^6}}}