What is ((-x^7y^5)^2)/((3x^3y^2)^4) ?

The solution to ((-x^7y^5)^2)/((3x^3y^2)^4) is (x^2y^2)/(81)

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simplify ((-x^7y^5)^2)/((3x^3y^2)^4)

simplify

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

\frac{x ^{2} y ^{2}}{81}

Solution steps

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

Simplify

(3 x^{3} y^{2})^{4} : 81 x^{12} y^{8}

= \frac{( - x ^{7} y ^{5} ) ^{2}}{81 x ^{12} y ^{8}}

Apply exponent rule:

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

n

is even

(- x^{7} y^{5})^{2} = (x^{7} y^{5})^{2}

= \frac{( x ^{7} y ^{5} ) ^{2}}{81 x ^{12} y ^{8}}

Simplify

(x^{7} y^{5})^{2} : x^{14} y^{10}

= \frac{x ^{14} y ^{10}}{81 x ^{12} y ^{8}}

Simplify

\frac{x ^{14}}{x ^{12}} : x^{2}

= \frac{x ^{2} y ^{10}}{81 y ^{8}}

Simplify

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

= \frac{x ^{2} y ^{2}}{81}

\frac{( b ) 2 ^{5}}{( 2 ^{- 6} )}

(2 x - y)^{2} - (y + 1)^{2}

x (y^{2} - z^{2}) + y (z^{2} - x^{2}) + z (x^{2} - y^{2})

(k + 4)^{3}

- 2 + 7 x - 5 + 2 + (- 15) - 9

What is ((-x^7y^5)^2)/((3x^3y^2)^4) ?
The solution to ((-x^7y^5)^2)/((3x^3y^2)^4) is (x^2y^2)/(81)