What is (15x^2y*(-6)x^7y)/((3xy)^2) ?

The solution to (15x^2y*(-6)x^7y)/((3xy)^2) is -10x^7

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simplify (15x^2y*(-6)x^7y)/((3xy)^2)

simplify

\frac{15 x ^{2} y \cdot ( - 6 ) x ^{7} y}{( 3 x y ) ^{2}}

- 10 x^{7}

Solution steps

\frac{15 x ^{2} y ( - 6 ) x ^{7} y}{( 3 x y ) ^{2}}

Simplify

15 x^{2} y (- 6) x^{7} y : - 15 \cdot 6 x^{2} y^{2} x^{7}

= \frac{- 15 \cdot 6 x ^{2} y ^{2} x ^{7}}{( 3 x y ) ^{2}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

= \frac{- 15 \cdot 6 x ^{2} y ^{2} x ^{7}}{3 ^{2} x ^{2} y ^{2}}

Factor the number:

15 = 3 \cdot 5

= \frac{- 3 \cdot 5 \cdot 6 x ^{2} y ^{2} x ^{7}}{3 ^{2} x ^{2} y ^{2}}

\frac{3}{3 ^{2}} = \frac{1}{3}

= \frac{- 5 \cdot 6 x ^{2} y ^{2} x ^{7}}{3 x ^{2} y ^{2}}

Cancel the common factor:

x^{2}

= \frac{- 5 \cdot 6 y ^{2} x ^{7}}{3 y ^{2}}

Cancel the common factor:

y^{2}

= \frac{- 5 \cdot 6 x ^{7}}{3}

Divide the numbers:

\frac{6}{3} = 2

= - 5 \cdot 2 x^{7}

Multiply the numbers:

- 5 \cdot 2 = - 10

= - 10 x^{7}

\frac{20 x ^{5} y}{4 x y ^{8}}

\frac{33}{8}

(x - 3) (x + 9)

(3 x - 4) (x^{2} + 6 x + 3)

\frac{7 ^{5}}{7 ^{2}}

What is (15x^2y*(-6)x^7y)/((3xy)^2) ?
The solution to (15x^2y*(-6)x^7y)/((3xy)^2) is -10x^7