Simplify

Question

Simplify

anonymous · Answer

simplify what

thefluffmuncher · Answer

$$\sqrt[4]{2000}$$

thefluffmuncher · Answer

how do i do this?

anonymous · Answer

You can use a calculator, maybe.

thefluffmuncher · Answer

i can but i want to know how to do this manually

solomonzelman · Answer

$$2000=125\times 2^4$$

thefluffmuncher · Answer

A.
6.7
 
 B.
7
 
 C.
14
 
 D.
63

the_fizicx99 · Answer

$\ \sf \Large \sqrt[4]{2000} = \sqrt[4]{16} \times \sqrt[4]{125} $


$\ \sf \Large \sqrt[4]{2^4} \times \sqrt[4]{5^3} $

$\ \sqrt[4]{2^4} = 2^{\frac{4}{4}} = 2 \color{green}{\checkmark} $

$\ \sqrt[4]{5^3} = 5^{\frac{3}{4}} = 5^{3/4} $

$\ \sf \Large 2 \times 5^{3/4} $

You can check by raising 2000^0.25 and then multiplying 2 * 5^3/4 = 2 * 5^0.75

the_fizicx99 · Answer

Use the rational property of exponents

solomonzelman · Answer

Just one advice in regards to latex. a small and not essential difference.

n^{n}   $\Huge\color{blue}{ \bf      n^{n} }$


n^n     $\Huge\color{blue}{ \bf     n^n }$

see the difference? I came up with this by accident recently.

thefluffmuncher · Answer

Ty u guys!!

the_fizicx99 · Answer

No, they look sort of the same, the first one is a little higher

solomonzelman · Answer

Yes, the first one is a little higher. I said not essential difference, but looks tiny bit better :)

the_fizicx99 · Answer

The fraction huh :)

solomonzelman · Answer

For me none are better, I get disconnected because of the latex either way, and a lot. And yeah, the fraction would also be a little higher and t/f a little bit better, but it doesn't really matter...