Question

(-2xy) (-3x3y2) (-1/6x2y7)​

Answer 1

We have:

$(-2xy)(-3x^3y^2)(-\dfrac{1}{6} x^2y^7)$

We have to simply to the given expression.

Solution:

$(-2xy)(-3x^3y^2)(-\dfrac{1}{6} x^2y^7)$

= $[(-2)(-3)(-\dfrac{1}{6} )]\times (x \times x^3 \times x^2)\times (y \times y^2 \times y^7)$

= $[6(-\dfrac{1}{6} )]\times x^{1+3+2} \times y^{1+2+7}$ [ ∵ $a^{m} \times a^{n} \times a^{o}=a^{m+n+o}$ ]

= $(-1)\times x^{6} \times y^{10}$

= $-x^{6}y^{10}$

∴ $(-2xy)(-3x^3y^2)(-\dfrac{1}{6} x^2y^7)$ = $-x^{6}y^{10}$