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Popular >

simplify (x^2yz^2)(-3xyz^4)

Solution

simplify

(x^{2} y z^{2}) (- 3 x y z^{4})

Solution

- 3 x^{3} y^{2} z^{6}

Solution steps

(x^{2} y z^{2}) (- 3 x y z^{4})

Apply rule:

a (- b) = - ab

(x^{2} y z^{2}) (- 3 x y z^{4}) = - x^{2} y z^{2} \cdot 3 x y z^{4}

= - x^{2} y z^{2} \cdot 3 x y z^{4}

Apply exponent rule:

aa = a^{2}

yy = y^{2}

= - x^{2} y^{2} z^{2} \cdot 3 x z^{4}

Simplify

x^{2} x : x^{3}

= - x^{3} y^{2} z^{2} \cdot 3 z^{4}

Simplify

z^{2} z^{4} : z^{6}

= - x^{3} y^{2} z^{6} \cdot 3

= - 3 x^{3} y^{2} z^{6}

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\frac{3}{5} \cdot 7

Frequently Asked Questions (FAQ)

What is (x^2yz^2)(-3xyz^4) ?
The solution to (x^2yz^2)(-3xyz^4) is -3x^3y^2z^6