Question
Simplify the following:
$\frac{3\text{n}\times9^{\text{n}+1}}{3^{\text{n}-1}\times9^{\text{n}-1}}$
$\frac{3\text{n}\times9^{\text{n}+1}}{3^{\text{n}-1}\times9^{\text{n}-1}}$
✓
Answer
$\frac{3\text{n}\times9^{\text{n}+1}}{3^{\text{n}-1}\times9^{\text{n}-1}}$
$=\frac{3^\text{n}\times9^\text{n}\times9}{\frac{3\text{n}}{3}\times\frac{9\text{n}}{9}}=9\times3\times9=243$
$=\frac{3^\text{n}\times9^\text{n}\times9}{\frac{3\text{n}}{3}\times\frac{9\text{n}}{9}}=9\times3\times9=243$
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