1. ## simplifying an expression.

I am in need of some help solving this question. It is supposed to be z to the power 10 and z to the power 11. It need to be simplified. Thank you in advance.

Z10/Z11

2. Originally Posted by LisaAnn_86
I am in need of some help solving this question. It is supposed to be z to the power 10 and z to the power 11. It need to be simplified. Thank you in advance.

Z10/Z11
$\frac{a^m}{a^n}=a^{m-n}$ if m>n

and

$\frac{a^m}{a^n}=\frac{1}{a^{n-m}}$ if n>m

so by using the second one since 11 is greater than 10 we get

$\frac{z^{10}}{z^{11}}=\frac{1}{z^{11-10}}=\frac{1}{z^1}=\frac{1}{z}$