Question

Simplify 10^0r^-11s/3^2 Write your answer using only positive exponents.

Answer 1

Given:

The expression is

$\dfrac{10^0r^{-11}s}{3^2}$

To find:

The simplified answer using only positive exponents.

Solution:

We have,

$\dfrac{10^0r^{-11}s}{3^2}$

$=\dfrac{(1)r^{-11}s}{9}$

$=\dfrac{r^{-11}s}{9}$

Using properties of exponents, we get

$=\dfrac{s}{9r^{11}}$            $\left[\because a^{-n}=\dfrac{1}{a^n}\right]$

Therefore, the required answer is $\dfrac{s}{9r^{11}}$.