en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (2^{3*(2^3)^3})^{-4}

Solution

simplify

(2^{3 \cdot (2^{3})^{3}})^{- 4}

Solution

\frac{1}{2 ^{6144}}

Solution steps

(2^{3 (2^{3})^{3}})^{- 4}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 2^{3 (2^{3})^{3} (- 4)}

3 (2^{3})^{3} (- 4) = - 6144

= 2^{- 6144}

Apply exponent rule:

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

2^{- 6144} = \frac{1}{2 ^{6144}}

= \frac{1}{2 ^{6144}}

Popular Examples

simplify 3.405*10^{-3}simplify

3.405 \cdot 1 0^{- 3}

simplify sqrt(x+3)*sqrt(x-4)simplify

x + 3 \cdot x - 4

simplify 3.45*10^{-8}*6.3 simplify

3.45 \cdot 1 0^{- 8} \cdot 6.3

simplify 4.52*10^{-2}simplify

4.52 \cdot 1 0^{- 2}

simplify 1.45*10^{-2}simplify

1.45 \cdot 1 0^{- 2}

Frequently Asked Questions (FAQ)

What is (2^{3*(2^3)^3})^{-4} ?
The solution to (2^{3*(2^3)^3})^{-4} is 1/(2^{6144)}