AS maths surds question help??

pleaseee can someone help me work this q out:
Simplify (root of x^5 - 2rootx^3)/root x

maths?!?! I do maths!!! Ok, hold on. Mentally calculationg!!!!

root of x^5 = x^(5/2)

therefore (x^(5/2) - 2x^(3/2)) / x^(1/2)

See if you can figure it out

pleaseee can someone help me work this Q out:
simplify (root of x^5 - 2rootx^3)/root x

Then multiply the exponents by 2 (go back to it later) and u would have (as i put it when simplifiying)

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

Start with the fact that $\sqrt{x^5} = \sqrt{x}^{\;5}$, then divide each term in the numerator by the denominator.

For example, $\frac{\sqrt{x}^{\;4}}{\sqrt{x}}=\sqrt{x}^{\;3}$ etc

(PRESSED SUBMIT BY ACCIDENT HOLD ON)

would this be the final answer??

would this be the final answer??

Would you be able to show me the workings through a picture please?

Can you help me with an 8th grade word prob that is bugging the living daylights out of me???

I know its really stupid, but it's not making sense to me.

In an opera theater sections of seating are being laid out. It is planned so each row will have 2 more seats than the one be4 it. 90 people must fit in each section. How many people are in the third row?

Okay so start by dividing each term on the numerator:

$\frac{\sqrt{x}^5 - 2\sqrt{x}^3}{\sqrt{x}} = \frac{\sqrt{x}^5}{\sqrt{x}} - \frac{2\sqrt{x}^3}{\sqrt{x}}$

Using the example I gave above, can you find what each fraction cancels down to?

my brain has just gone dead pleaseee help!! 😭

Don't worry! I did this question without converting to fractional powers, which I found much easier.

So the first term simplifies easy enough, knowing that $\frac{x^n}{x}=x^{n-1}$:

$\frac{\sqrt{x}^5}{\sqrt{x}} = \sqrt{x}^4$

The second term is the same but with a coefficient. If this confuses you, just think of it like this:

$\frac{2\sqrt{x}^3}{\sqrt{x}}=2 \cdot\frac{\sqrt{x}^3}{\sqrt{x}}=2\sqrt{x}^2$

Combined, we've now simplified the big fraction into:

$\sqrt{x}^4-2\sqrt{x}^2$

Now if you just remember that a power is when a term is multiplied by itself that many times, you should be able to simplify this further.

i can already tell i’ve done this wrong 😭