Which is larger: $\left(\dfrac{1}{3}\right)^{4}$ or $\left(\dfrac{1}{4}\right)^{3}$?
Which is larger: $\left(\dfrac{1}{3}\right)^{4}$ or $\left(\dfrac{1}{4}\right)^{3}$?
$\left(\dfrac{1}{3}\right)^{4}$
$\left(\dfrac{1}{4}\right)^{3}$
Equal
Cannot determine
Solution
$\left(\dfrac{1}{3}\right)^{4} = \dfrac{1}{81}$ and $\left(\dfrac{1}{4}\right)^{3} = \dfrac{1}{64}$. Since $\dfrac{1}{64} > \dfrac{1}{81}$, $\left(\dfrac{1}{4}\right)^{3}$ is larger.