Question

What is the value of $\frac{3^5\times {27}^3}{{81}^3}$?

• A. $9$
• B. $27$
• C. $81$
• D. $3$

Answer 1

The correct option is A $9$

Notice that $27=3^3$ and $81=3^4$

$\therefore \frac{3^5\times {27}^3}{{81}^3}=\frac{3^5\times (3^3{)}^3}{(3^4{)}^3}$

$=\frac{3^5\times 3^9}{3^{12}}$

$=\frac{3^{14}}{3^{12}}$

$=3^{14-12}$

$=3^2=9$