How do you simplify #(\frac { 2x } { y ^ { 3} } ) ^ { - 1}#?

1 Answer
Aug 9, 2017

See a solution process below:

Explanation:

Use this rule of exponents to simplify the expression by eliminating the negative exponent:

#x^color(red)(a) = 1/x^color(red)(-a)#

#((2x)/y^3)^color(red)(-1) = 1/((2x)/y^3)^color(red)(- -1) = 1/((2x)/y^3)^color(red)(1) = 1/((2x)/y^3) => y^3/(2x)#