What is ((-4y^2)^4)/(-12y^{-2)} ?

The solution to ((-4y^2)^4)/(-12y^{-2)} is -(64y^{10})/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ((-4y^2)^4)/(-12y^{-2)}

simplify

\frac{( - 4 y ^{2} ) ^{4}}{- 12 y ^{- 2}}

- \frac{64 y ^{10}}{3}

Solution steps

\frac{( - 4 y ^{2} ) ^{4}}{- 12 y ^{- 2}}

Apply exponent rule:

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

n

is even

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

= \frac{( 4 y ^{2} ) ^{4}}{- 12 y ^{- 2}}

Simplify

(4 y^{2})^{4} : 4^{4} y^{8}

= \frac{4 ^{4} y ^{8}}{- 12 y ^{- 2}}

Factor the number:

12 = 4 \cdot 3

= \frac{4 ^{4} y ^{8}}{- 4 \cdot 3 y ^{- 2}}

\frac{4 ^{4}}{4} = 4^{3}

= \frac{4 ^{3} y ^{8}}{- 3 y ^{- 2}}

Simplify

\frac{y ^{8}}{y ^{- 2}} : y^{10}

= \frac{4 ^{3} y ^{10}}{- 3}

Simplify

\frac{4 ^{3} y ^{10}}{- 3} : - \frac{64 y ^{10}}{3}

= - \frac{64 y ^{10}}{3}

3 (x - 6)

\frac{- 20 m x ^{2} y ^{3}}{4 x y ^{3}}

(7 + 4 i) - (8 + i)

16 x^{2} - 4 x

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

What is ((-4y^2)^4)/(-12y^{-2)} ?
The solution to ((-4y^2)^4)/(-12y^{-2)} is -(64y^{10})/3