What is (-7x^2y^5z)(-2x^6y^2)(-4xyz) ?

The solution to (-7x^2y^5z)(-2x^6y^2)(-4xyz) is -56x^9y^8z^2

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simplify (-7x^2y^5z)(-2x^6y^2)(-4xyz)

simplify

(- 7 x^{2} y^{5} z) (- 2 x^{6} y^{2}) (- 4 x yz)

- 56 x^{9} y^{8} z^{2}

Solution steps

(- 7 x^{2} y^{5} z) (- 2 x^{6} y^{2}) (- 4 x yz)

Simplify

(- 7 x^{2} y^{5} z) (- 2 x^{6} y^{2}) (- 4 x yz) : - 14 x^{8} y^{7} z (4 x yz)

= - 14 x^{8} y^{7} z \cdot 4 x yz

Multiply the numbers:

- 14 \cdot 4 = - 56

= - 56 x^{8} y^{7} z x yz

Apply exponent rule:

aa = a^{2}

zz = z^{2}

= - 56 x^{8} y^{7} z^{2} x y

Simplify

x^{8} x : x^{9}

= - 56 x^{9} y^{7} z^{2} y

Simplify

y^{7} y : y^{8}

= - 56 x^{9} y^{8} z^{2}

\frac{\frac{1}{4} \cdot \frac{1}{x} \cdot y ^{\frac{3}{2}}}{3 ^{- \frac{1}{4}} \cdot x \cdot y ^{- \frac{1}{4}}}

\frac{100}{25} + \frac{36}{9}

6 \cdot \frac{1}{8}

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

\frac{160}{7}

What is (-7x^2y^5z)(-2x^6y^2)(-4xyz) ?
The solution to (-7x^2y^5z)(-2x^6y^2)(-4xyz) is -56x^9y^8z^2