# Thread: Simplyify using the law of exponents

1. ## Simplyify using the law of exponents

simplify the following :-

(10ˆ1-n)ˆn
10000nˆ2+2
____________ *
___________
(1000ˆn)ˆn+1
100ˆ3-n

2. is there a typo?

$(10^1-n)^n$ or $(10^{1-n})^n$?

3. Originally Posted by metlx
is there a typo?

$(10^1-n)^n$ or $(10^{1-n})^n$?
Thank you for your help but i can't understand what you wrote please write in more step
Thank you

4. Originally Posted by mj.alawami
simplify the following :-

(10ˆ1-n)ˆn
10000nˆ2+2

____________ *
___________

(1000ˆn)ˆn+1
100ˆ3-n

Hi mj,

You're going to have to be clearer with your expressions. Use parentheses to separate things. Is this what you are trying to say:

$\frac{(10^{1-n})^n}{(1000^n)^{n+1}}\cdot \frac{10000^{n^2+2}}{100^{3-n}}$

5. Originally Posted by masters
Hi mj,

You're going to have to be clearer with your expressions. Use parentheses to separate things. Is this what you are trying to say:

$\frac{(10^{1-n})^n}{(1000^n)^{n+1}}\cdot \frac{10000^{n^2+2}}{100^{3-n}}$
$\frac{(10^{1-n})^n}{(1000^n)^{n+1}}\cdot \frac{10000^{n^2+2}}{100^{3-n}}=\frac{10^{n(1-n)}}{10^{3n(n+1)}} \cdot \frac{10^{4(n^2+2)}}{10^{2(3-n)}}=\frac{10^{n-n^2}}{10^{3n^2+3n}} \cdot \frac{10^{4n^2+8}}{10^{6-2n}}=$