(12-3x/5x^3/5) - x^3/5 Simplify

Please use proper grouping symbols so we know for sure what you mean.

I am assuming it is:

\(\displaystyle \frac{12-3x}{5x^{\frac{3}{5}}}-x^{\frac{3}{5}}\)
 
fatlord said:
yes its like that but let me do some changes.

(12-3x/5x^2/5) - x^3/5
The meaning of the formatting to which you've changed the expression does not actually match what you said "it's like". Is the expression similar, but not the same, as what the tutor proposed? Or do you actually mean the following...?

. . . . .(12 - 3x) / (5x^(2/5)) - x^(3/5)

Please confirm or correct.

When you reply, please also include the complete instructions (for instance, are you supposed to evaluate at some value of x? "simplify" using only positive exponents? etc) and provide a clear listing of your work and reasoning so far, using the formatting in the articles you saw referenced when you read the "Read Before Posting" thread before you posted.

Thank you! :D

Eliz.
 
like galactus's post

(12 - 3x) / (5x^(2/5)) - x^(3/5)

12 - 3x is over 5x^(2/5) minus x^(3/5)
 
fatlord said:
like galactus's post
Okay, we've established what the expression is. :wink:

Now: What are you supposed to be doing with thing? (There is no standard meaning to "simplify", especially in contexts such as this one, so you'll need to tell us what is expected of you. Showing your work so far would probably be helpful in this regard, in addition to letting us see how far you've gotten.)

Thank you! :D

Eliz.
 
fatlord said:
like galactus's post

(12 - 3x) / (5x^(2/5)) - x^(3/5)

12 - 3x is over 5x^(2/5) minus x^(3/5)

how would you simplify

\(\displaystyle \frac{1-x}{x} \, - \, 2\)

Do similar operations and show us what you got.
 
x^(3/5) is gonna be over 5x^(2/5)
That's where I'm stuck at.

x^(3/5)/5x^(2/5)
 
Remember, when you divide exponents you subtract the exponents.

\(\displaystyle \frac{x^{\frac{3}{5}}}{5x^{\frac{2}{5}}}\)

(3/5)-(2/5)=1/5

So, we have:

\(\displaystyle \frac{x^{\frac{1}{5}}}{5}\)

See?.
 
ok now i know the correct answer.

the denominator 5x^(2/5) times the numerator on x^(3/5)

which equals 5x

so the answer is

((12-3x) -5x)
/ 5x^(2/3)

= (12-8x)/ 5x^(2/3)
 
fatlord said:
ok now i know the correct answer.

the denominator 5x^(2/5) times the numerator on x^(3/5)

which equals 5x

so the answer is

((12-3x) -5x)
/ 5x^(2/3)<<< Incorrect - should be 3/5

= (12-8x)/ [5x^(3/5)]
 
Top