Question 54285
{{{ (2x^-3)^4(3x^5)^-2 }}}
Begin with your Power to power ... and deal with the exponents on the outside.
Don't forget the Coefficients get the exponents too.
{{{ (2^4x^-12)(3^-2x^-10) }}}
Remember that anything over 1 is equal to itself.
{{{ ((2^4x^-12)/1)((3^-2x^-10)/1) }}}
Anything that has a negative exponent, move it to the other side of the fraction and make the exponent positive.
{{{ ((2^4)/(x^12))((1)/(3^2x^10)) }}}
Work the Coefficients
{{{ ((16)/(x^12))((1)/(9x^10)) }}}
Multiply the fractions
{{{ (16)/(9x^22) }}}