# SOLUTION: how do i solve (2x)with an exponent of -3 outside parenthesis and all of this is over 3x with an exponent of -2..please help

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 Algebra: Exponents and operations on exponents Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Exponents Question 29698: how do i solve (2x)with an exponent of -3 outside parenthesis and all of this is over 3x with an exponent of -2..please helpAnswer by Cintchr(481)   (Show Source): You can put this solution on YOUR website!Assuming that I am reading that in the denominator, the -2 is associated with ONLY the x, then the solution is as follows: (2x)^-3 / 3x^-2 Distribute the -3 to both parts of the numerator. (2^-3)(x^-3) / (3)(x^-2) If a number or variable was a negative exponent, move it to the other side of the fraction bar and make the exponent possitive. (x^2) / (3)(2^3)(x^3) Work the powers on the numbers first. (x^2) / (3)(8)(x^3) (x^2) / (24)(x^3) Work the division of the exponents (subtract the exponents putting the remainder in the denominator since 3 > 2) 1 / 24x Done