7. (3^4cdot 81)/(27) A) 3^2 B) 3^3 C) 3^4 D) 3^5 E) 3^6

To solve the expression $\frac{3^4 \cdot 81}{27}$, we can simplify it step by step.<br /><br />First, let's rewrite 81 and 27 as powers of 3:<br />$81 = 3^4$<br />$27 = 3^3$<br /><br />Now, substitute these values into the expression:<br />$\frac{3^4 \cdot 3^4}{3^3}$<br /><br />Next, use the property of exponents $a^m \cdot a^n = a^{m+n}$:<br />$\frac{3^{4+4}}{3^3} = \frac{3^8}{3^3}$<br /><br />Finally, use the property of exponents that states $\frac{a^m}{a^n} = a^{m-n}$:<br />$3^{8-3} = 3^5$<br /><br />Therefore, the correct answer is D) $3^5$.