What is ((2^{-3})^2)^{-2} ?

The solution to ((2^{-3})^2)^{-2} is 4096

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simplify ((2^{-3})^2)^{-2}

simplify

((2^{- 3})^{2})^{- 2}

4096

Solution steps

((2^{- 3})^{2})^{- 2}

(2^{- 3})^{2} : 2^{- 6}

= (2^{- 6})^{- 2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{( 2 ^{- 6} ) ^{2}}

(2^{- 6})^{2} : 2^{- 12}

= \frac{1}{2 ^{- 12}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

2^{- 12} = \frac{1}{2 ^{12}}

= \frac{1}{\frac{1}{2 ^{12}}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{2 ^{12}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 2^{12}

2^{12} = 4096

= 4096

- 0.5 (2)^{- 2}

35 \cdot 1.66 \cdot 1 0^{- 24}

x (x + 1)^{2} (x - 2)^{2}

29754.94972 (1.03)^{- 20}

5 x^{2} (x - 5)^{2}