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

The solution to [(4^3)^{-2}]^{-3} is 4^{18}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

4^{18}

Decimal Notation

68719476736

Solution steps

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

(4^{3})^{- 2} : 4^{- 6}

= [4^{- 6}]^{- 3}

Apply exponent rule:

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

= \frac{1}{( 4 ^{- 6} ) ^{3}}

(4^{- 6})^{3} : 4^{- 18}

= \frac{1}{4 ^{- 18}}

Apply exponent rule:

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

4^{- 18} = \frac{1}{4 ^{18}}

= \frac{1}{\frac{1}{4 ^{18}}}

Apply the fraction rule:

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

= \frac{4 ^{18}}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 4^{18}

e^{t} e^{- 2 t}

e^{- 0.0001}

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

(- 1728)^{- \frac{1}{3}}

2.08 \cdot 1 0^{- 3}