Tuesday

September 23, 2014

September 23, 2014

Posted by **coried** on Friday, July 24, 2009 at 9:30pm.

(x+4)^-3/5+(x+4)^-1/5+(x+4)^1/5

Please explain the process used to solve this type of expression. Answer should be in equation form if that helps....

- college alegbra -
**Reiny**, Friday, July 24, 2009 at 11:10pmconsider a simpler case:

x^5 + 2x^3 + 5x^2

the common factor is x^2, that is, the power with the smallest exponent, so

x^2(x^3 + 2x + 5)

how did we get the terms inside ?

We subtracted the exponent of the common factor from the original exponent.

now to our question,

(x+4)^-3/5+(x+4)^-1/5+(x+4)^1/5

clearly the base of (x+4) becomes part of the common factor,

what is the smallest exponent ? it is -3/5

so (x+4)^(-3/5) is the common factor

answer:

(x+4)^(-3/5)[1 + (x+4)^(2/5) + (x+4)^(4/5)]

you can check this answer by expanding it, remember when multiplying powers we add the exponents

**Answer this Question**

**Related Questions**

Alegbra - Can you help me answer this equation? 1 1 __ - __ x+h x ...

math,algebra - Can someone explain this to me plese: to factor a number you.... ...

math - Jane is taking a class and asks you to help her figure out what her last ...

algebra - What is the difference between an equation and an expression? Include ...

math (this correct) - What is the difference between an equation and an ...

Math - What is the difference between an equation and an expression? Include an ...

algebra - Can somebody please help me with these problems? Factor the expression...

College Math - Evaluate the expression. (8 7) however the () should cover both ...

math - 1. Samuel is 2/3 as old as his brother. In five years, he will be 3/4 as ...

math - What is the line of thought or sequence of thought for solving simple ...