How do you evaluate $(\frac{- 7}{5} x^{2} y) \times (\frac{3}{2} x y^{2}) \times (\frac{- 6}{5} x^{3} y^{3})$ $(\frac { - 7} { 5} x ^ { 2} y ) \times ( \frac { 3} { 2} x y ^ { 2} ) \times ( \frac { - 6} { 5} x ^ { 3} y ^ { 3} )$ ?

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How do you evaluate $(\frac{- 7}{5} x^{2} y) \times (\frac{3}{2} x y^{2}) \times (\frac{- 6}{5} x^{3} y^{3})$ $(\frac { - 7} { 5} x ^ { 2} y ) \times ( \frac { 3} { 2} x y ^ { 2} ) \times ( \frac { - 6} { 5} x ^ { 3} y ^ { 3} )$ ?

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Answer 1 · 2017-12-07T15:04:13

$\frac{63}{25} \cdot x^{6} \cdot y^{6}$ $color(blue)(63/25*x^6*y^6)$

Explanation:

We have

$(- \frac{7}{5} \cdot x^{2} \cdot y) \cdot (\frac{3}{2} \cdot x \cdot y^{2}) \cdot (- \frac{6}{5} \cdot x^{3} \cdot y^{3})$ $color(red)((-7/5*x^2*y)*(3/2*x*y^2)*(-6/5*x^3*y^3))$

The problem has just one term with three factors.

We will now group the like terms to simplify.

We are going to group the numeric values first, followed by the $x . t e r m s$ $x.terms$ , followed by $y . t e r m s$ $y.terms$ .

$\Rightarrow (- \frac{7}{5} \cdot \frac{3}{2} \cdot - \frac{6}{5}) (x^{2} \cdot x^{1} \cdot x^{3}) (y^{1} \cdot y^{2} \cdot y^{3})$ $rArr color(red)((-7/5*3/2*-6/5) (x^2*x^1*x^3)(y^1*y^2*y^3))$

We will be using the following formula

$a^{m} \cdot a^{n} = a^{m + n}$ $color(green)(a^m*a^n = a^ (m+n))$

$\Rightarrow \frac{126}{50} \cdot (x^{6}) (y^{6})$ $rArr color(red)(126/50* (x^6)(y^6))$

$\Rightarrow \frac{63}{25} \cdot (x^{6}) (y^{6})$ $rArr color(blue)(63/25* (x^6)(y^6))$ our final answer

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How do you evaluate $(\frac{- 7}{5} x^{2} y) \times (\frac{3}{2} x y^{2}) \times (\frac{- 6}{5} x^{3} y^{3})$ $(\frac { - 7} { 5} x ^ { 2} y ) \times ( \frac { 3} { 2} x y ^ { 2} ) \times ( \frac { - 6} { 5} x ^ { 3} y ^ { 3} )$ ?

1 Answer

Explanation:

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How do you evaluate (−75x2y)×(32xy2)×(−65x3y3)(\frac { - 7} { 5} x ^ { 2} y ) \times ( \frac { 3} { 2} x y ^ { 2} ) \times ( \frac { - 6} { 5} x ^ { 3} y ^ { 3} )?

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Explanation:

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How do you evaluate $(\frac{- 7}{5} x^{2} y) \times (\frac{3}{2} x y^{2}) \times (\frac{- 6}{5} x^{3} y^{3})$ $(\frac { - 7} { 5} x ^ { 2} y ) \times ( \frac { 3} { 2} x y ^ { 2} ) \times ( \frac { - 6} { 5} x ^ { 3} y ^ { 3} )$ ?