Question

(\frac{p^{12}t^{3}r}{p^{2}tr})

Explanation:

Step1: Simplify the \( p \)-terms

Using the quotient rule for exponents \( \frac{a^m}{a^n}=a^{m - n} \), for the \( p \)-terms: \( \frac{p^{12}}{p^2}=p^{12 - 2}=p^{10} \)

Step2: Simplify the \( t \)-terms

For the \( t \)-terms: \( \frac{t^3}{t}=t^{3 - 1}=t^2 \)

Step3: Simplify the \( r \)-terms

For the \( r \)-terms: \( \frac{r}{r}=r^{1 - 1}=r^0 = 1 \) (any non - zero number to the power of 0 is 1)

Step4: Multiply the simplified terms

Multiply the simplified \( p \), \( t \), and \( r \) terms together: \( p^{10}\times t^2\times1=p^{10}t^2 \)

Answer:

\( p^{10}t^2 \)