Solve [{(2^-1)^-1}^-1]^-1=

$$[ \{ ( 2 ^ { - 1 } ) ^ { - 1 } \} ^ { - 1 } ] ^ { - 1 } =$$

Evaluate

$$2$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply -1 and -1 to get 1.

$$\left(\left(2^{1}\right)^{-1}\right)^{-1}$$

To raise a power to another power, multiply the exponents. Multiply 1 and -1 to get -1.

$$\left(2^{-1}\right)^{-1}$$

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

$$\left(\frac{1}{2}\right)^{-1}$$

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

$$2$$

Factor

$$2$$