Solve {[(3)^2]^-2}^-3

$$\{ [ ( 3 ) ^ { 2 } ] ^ { - 2 } \} ^ { - 3 }$$

Evaluate

$$531441$$

Solution Steps

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

$$\left(3^{-4}\right)^{-3}$$

Calculate 3 to the power of -4 and get \frac{1}{81}.

$$\left(\frac{1}{81}\right)^{-3}$$

Calculate \frac{1}{81} to the power of -3 and get 531441.

$$531441$$

Factor

$$3^{12}$$