Calculate: (/(2 a ^ 3) a) ^-4

Expression: $$( \frac { 2 a ^ { 3 } } { a } ) ^ { - 4 }$$

Cancel out $a$ in both numerator and denominator.

$$\left(2a^{2}\right)^{-4}$$

Expand $\left(2a^{2}\right)^{-4}$.

$$2^{-4}\left(a^{2}\right)^{-4}$$

To raise a power to another power, multiply the exponents. Multiply $2$ and $-4$ to get $-8$.

$$2^{-4}a^{-8}$$

Calculate $2$ to the power of $-4$ and get $\frac{1}{16}$.

$$\frac{1}{16}a^{-8}$$