What is {[(2x^2)^3]^{-4}}^{-1} ?

The solution to {[(2x^2)^3]^{-4}}^{-1} is 4096x^{24}

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simplify {[(2x^2)^3]^{-4}}^{-1}

simplify

{[(2 x^{2})^{3}]^{- 4}}^{- 1}

4096 x^{24}

Solution steps

{[(2 x^{2})^{3}]^{- 4}}^{- 1}

[(2 x^{2})^{3}]^{- 4} : (2 x^{2})^{- 12}

= {(2 x^{2})^{- 12}}^{- 1}

(2 x^{2})^{- 12} = \frac{1}{2 ^{12} x ^{24}}

= (\frac{1}{2 ^{12} x ^{24}})^{- 1}

Apply exponent rule:

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

= \frac{1}{\frac{1}{2 ^{12} x ^{24}}}

Apply the fraction rule:

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

= \frac{2 ^{12} x ^{24}}{1}

Refine

= 4096 x^{24}

(e^{- \frac{1}{2}})^{2}

(1.007 \cdot 1 0^{- 12}) (1400)

4 \cdot e^{- 3}

(x - 5)^{- 1}

What is {[(2x^2)^3]^{-4}}^{-1} ?
The solution to {[(2x^2)^3]^{-4}}^{-1} is 4096x^{24}