What is ((2xy)^2)/((-2xy)^3) ?

The solution to ((2xy)^2)/((-2xy)^3) is -1/(2xy)

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simplify ((2xy)^2)/((-2xy)^3)

simplify

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

- \frac{1}{2 x y}

Solution steps

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

Apply exponent rule:

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

n

is odd

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

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

Simplify

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

= \frac{1}{- 2 x y}

Apply the fraction rule:

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

= - \frac{1}{2 x y}

x^{3} + 5 x - 3 x^{2} - 15

\frac{12 a ^{2} + 8 a + 24}{2}

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

(a + 3 b) (a - 3 b)

ln (ln (e^{e^{7}}))