What is ((-16)^3)/((4^{-2))^{-3}} ?

The solution to ((-16)^3)/((4^{-2))^{-3}} is -1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((-16)^3)/((4^{-2))^{-3}}

simplify

\frac{( - 16 ) ^{3}}{( 4 ^{- 2} ) ^{- 3}}

- 1

Solution steps

\frac{( - 16 ) ^{3}}{( 4 ^{- 2} ) ^{- 3}}

(4^{- 2})^{- 3} = 4096

= \frac{( - 16 ) ^{3}}{4096}

Apply exponent rule:

(- a)^{n} = - a^{n},

n

is odd

(- 16)^{3} = - 1 6^{3}

= \frac{- 1 6 ^{3}}{4096}

Factor the number:

4096 = 1 6^{3}

= \frac{- 1 6 ^{3}}{1 6 ^{3}}

Apply the fraction rule:

\frac{a}{a} = 1

\frac{1 6 ^{3}}{1 6 ^{3}} = 1

= - 1

sec (x) cos (x)

\frac{csc ( x ) cos ( x )}{tan ( x ) + cot ( x )}

sec^{4} (x) - tan^{4} (x)

\frac{( 5 i ) ^{4}}{( 4 - 3 i ) ^{2}}

What is ((-16)^3)/((4^{-2))^{-3}} ?
The solution to ((-16)^3)/((4^{-2))^{-3}} is -1