What is (((-k)^3*x-k^4))/((k^{-3)*x(-k^6))} ?

The solution to (((-k)^3*x-k^4))/((k^{-3)*x(-k^6))} is (x+k)/x

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simplify (((-k)^3x-k^4))/((k^{-3)x(-k^6))}

simplify

\frac{( ( - k ) ^{3} \cdot x - k ^{4} )}{( k ^{- 3} \cdot x ( - k ^{6} ) )}

\frac{x + k}{x}

Solution steps

\frac{( - k ) ^{3} x - k ^{4}}{k ^{- 3} x ( - k ^{6} )}

Apply rule:

a (- b) = - ab

k^{- 3} x (- k^{6}) = - k^{- 3} x k^{6}

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

Apply exponent rule:

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

n

is odd

(- k)^{3} = - k^{3}

= \frac{- k ^{3} x - k ^{4}}{- k ^{- 3} x k ^{6}}

Factor

- x k^{3} - k^{4} : - k^{3} (x + k)

= \frac{- k ^{3} ( x + k )}{- k ^{- 3} x k ^{6}}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

k^{3} = k^{- 3} k^{6}

= \frac{- k ^{- 3} k ^{6} ( x + k )}{- k ^{- 3} x k ^{6}}

Cancel the common factor:

- k^{- 3}

= \frac{k ^{6} ( x + k )}{x k ^{6}}

Cancel the common factor:

k^{6}

= \frac{x + k}{x}

a^{3} b + b^{3}

(- \frac{2}{3} x + \frac{4}{5} y + 7)^{2}

(11 x^{1}) (11 x + 7)

(\frac{2}{3} \cdot x^{2} - \frac{1}{2} \cdot y)^{3}

\frac{( p ^{2} )}{9 - 36}

What is (((-k)^3*x-k^4))/((k^{-3)*x(-k^6))} ?
The solution to (((-k)^3*x-k^4))/((k^{-3)*x(-k^6))} is (x+k)/x