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

The solution to [[(2x^2)^2]^{-4}]^{-1} is 256x^{16}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

256 x^{16}

Solution steps

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

[(2 x^{2})^{2}]^{- 4} : (2 x^{2})^{- 8}

= [(2 x^{2})^{- 8}]^{- 1}

(2 x^{2})^{- 8} = \frac{1}{2 ^{8} x ^{16}}

= (\frac{1}{2 ^{8} x ^{16}})^{- 1}

Apply exponent rule:

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

= \frac{1}{\frac{1}{2 ^{8} x ^{16}}}

Apply the fraction rule:

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

= \frac{2 ^{8} x ^{16}}{1}

Refine

= 256 x^{16}

(7 x^{3} y^{4}) (8 y^{3})

e^{- 25 (4)}

e^{- 0.06 (1.1 2^{10} - 1)}

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

What is [[(2x^2)^2]^{-4}]^{-1} ?
The solution to [[(2x^2)^2]^{-4}]^{-1} is 256x^{16}