Question

simplify. express your answer using positive exponents.
$\frac{9rst^{2}}{3r^{7}st}$

Explanation:

Step1: Divide the coefficients

$\frac{9}{3}=3$

Step2: Use exponent - subtraction rule for $r$

$\frac{r}{r^{7}}=r^{1 - 7}=r^{- 6}=\frac{1}{r^{6}}$

Step3: Use exponent - subtraction rule for $s$

$\frac{s}{s}=s^{1 - 1}=s^{0}=1$

Step4: Use exponent - subtraction rule for $t$

$\frac{t^{2}}{t}=t^{2 - 1}=t^{1}=t$

Step5: Combine the results

$3\times\frac{1}{r^{6}}\times1\times t=\frac{3t}{r^{6}}$

Answer:

$\frac{3t}{r^{6}}$