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}

(2.3 \cdot 1 0^{1}) (7 \cdot 1 0^{6})

(5 x + 2)^{- 2}

e^{x} \cdot e^{- 1}

x + h + 1 \cdot x + 1

e^{3 x} e^{x}

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