#### Branys

##### New member
Hi Everyone,

So Im new here, and Ive been out of high school for almost 13 years and recently joined economics university, where I have maths exam soon, but it looks like Im struggling with some basics.

I am working on my derivatives now, but before that I am struggling in simplifying before I can do that. Please find attached picture of my steps, where result I get is x^2, but according to the site it should be x-1/6.

I believe I used correct steps for simplifying root to fractions and dividing fractions with same base, but it looks like I did skip some rule

Thank you in advance

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#### tkhunny

##### Moderator
Staff member
You were done at $$\displaystyle x^2$$, why did you keep going? Somehow, you should point out that $$\displaystyle x \gt 0$$. That's not obvious from the final expression, but it's pretty clear in the original expression.

#### JeffM

##### Elite Member
What was the original problem? What you did was fine, but perhaps you made an error earlier.

#### Dr.Peterson

##### Elite Member
Hi Everyone,

So Im new here, and Ive been out of high school for almost 13 years and recently joined economics university, where I have maths exam soon, but it looks like Im struggling with some basics.

I am working on my derivatives now, but before that I am struggling in simplifying before I can do that. Please find attached picture of my steps, where result I get is x^2, but according to the site it should be x-1/6.

I believe I used correct steps for simplifying root to fractions and dividing fractions with same base, but it looks like I did skip some rule

Thank you in advance

I believe you misread (or they miswrote) the expression. It was really $$\frac{x\sqrt[3]{x}}{\sqrt{x^3}}$$, not $$\frac{x^3\sqrt{x}}{\sqrt{x^3}}$$!

As I tell students, make sure you tuck that index in the crook of your arm so you don't drop it.

#### Branys

##### New member
View attachment 24316

I believe you misread (or they miswrote) the expression. It was really $$\frac{x\sqrt[3]{x}}{\sqrt{x^3}}$$, not $$\frac{x^3\sqrt{x}}{\sqrt{x^3}}$$!

As I tell students, make sure you tuck that index in the crook of your arm so you don't drop it.
Oh you are right there, I feel stupid now. But at least lesson learnt here Thank you!

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