## Precalculus (6th Edition) Blitzer

The power rule for exponents is that when raising a power to another power (i.e. $(x^{y})^{z}$), multiply the two exponents together (i.e. $x^{yz}$).
To solve $(3^{2})^{4}$, we have to multiply the two exponents, 2 and 4. $3^{2\times4} = 3^{8} = 6561$.