SOLUTION: 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 }}}

Question 1121808: Factor while dealing with negative and fractional exponents: (5/3)x^(-1/4)(x-7)^3+2x^(-5/4)(x-7)^4

Found 2 solutions by greenestamps, MathTherapy:
Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!

There are powers of x and of (x-7) in both terms. Factor out the smaller power of each from both terms.

-5/4 is smaller than -1/4; 3 is smaller than 4. So factor out x^(-5/4) and (x-7)^3:

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Answer by MathTherapy(10559) (Show Source): You can put this solution on YOUR website!

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

---- Multiplying expression by LCD, 3 to get rid of fraction
--------- Factoring out, GCF,

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