Question 1121808

Factor while dealing with negative and fractional exponents: (5/3)x^(-1/4)(x-7)^3+2x^(-5/4)(x-7)^4

{{{ (5/3)x^(-1/4)(x-7)^3+2x^(-5/4)(x-7)^4 }}}
<pre>{{{matrix(1,4, matrix(2,1, " ", (5/3)x^(- 1/4)(x - 7)^3), " ", "+", matrix(2,1, " ", 2x^(- 5/4)(x - 7)^4))}}}
{{{matrix(1,4, matrix(2,1, " ", 5x^(- 1/4)(x - 7)^3), " ", "+", matrix(2,1, " ", 6x^(- 5/4)(x - 7)^4))}}} ---- Multiplying expression by LCD, 3 to get rid of fraction
{{{matrix(2,1, " ", x^(- 5/4)(x - 7)^3(5x + 6(x - 7)))}}} --------- Factoring out, GCF, {{{matrix(2,1, " ", x^(- 5/4)(x - 7)^3)}}}
{{{highlight_green(matrix(2,1, " ", x^(- 5/4)(x - 7)^3(11x - 42)))}}}