What is (a^2*a^{-4})/(a^{-1)*a^3} ?

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

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simplify (a^2a^{-4})/(a^{-1)a^3}

simplify

\frac{a ^{2} \cdot a ^{- 4}}{a ^{- 1} \cdot a ^{3}}

\frac{1}{a ^{4}}

Solution steps

\frac{a ^{2} a ^{- 4}}{a ^{- 1} a ^{3}}

Simplify

a^{- 1} a^{3} : a^{2}

= \frac{a ^{2} a ^{- 4}}{a ^{2}}

Cancel the common factor:

a^{2}

= a^{- 4}

Apply exponent rule:

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

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

6 x^{2} y^{2} - 12 x^{2} y^{2} + x^{2} y^{2}

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

\frac{- 12}{6}

\frac{175}{2}

(3 x^{2})^{5}

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