Calculate: $(243)^{\frac35}$
I notice that 243 is a power of 3, since $3^5 = 243$. That means I can rewrite the expression as $(3^5)^{\frac35}$. Using the rule of exponents that says $(a^b)^c = a^{bc}$, I can simplify this to $3^{5 \cdot \frac35}$. Multiplying 5 by $\frac35$ gives me 3, so I have $3^3$. I know that $3^3 = 27$, so that's my answer. 