Find the following product.
$ (-7 x y) \times\left(\frac{1}{4} x^{2} y z\right) $

Academic Mathematics NCERT Class 8

Given:

\( (-7 x y) \times\left(\frac{1}{4} x^{2} y z\right) \)

To do:

We have to find the given product.

Solution:

$(-7 x y) \times(\frac{1}{4} x^{2} y z)=-7 \times \frac{1}{4} \times x \times x^{2} \times y \times y \times z$

$=\frac{-7}{4} x^{1+2} \times y^{1+1} \times z$

$=\frac{-7}{4} x^{3} y^{2} z$

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

25 Views

Find the following product.\( (0.5 x) \times\left(\frac{1}{3} x y^{2} z^{4}\right) \times\left(-24 x^{2} y z\right) \)
Find the following product.\( \left(\frac{-7}{5} x y^{2} z\right) \times\left(\frac{13}{3} x^{2} y z^{2}\right) \)
Evaluate each of the following when $x=2, y=-1$.\( (2 x y) \times\left(\frac{x^{2} y}{4}\right) \times\left(x^{2}\right) \times\left(y^{2}\right) \)
Evaluate each of the following when $x=2, y=-1$.\( \left(\frac{3}{5} x^{2} y\right) \times\left(\frac{-15}{4} x y^{2}\right) \times\left(\frac{7}{9} x^{2} y^{2}\right) \)
Find the following products:\( \frac{-4}{27} x y z\left[\frac{9}{2} x^{2} y z-\frac{3}{4} x y z^{2}\right] \)
Find the following product.\( \left(\frac{-24}{25} x^{3} z\right) \times\left(\frac{-15}{16} x z^{2} y\right) \)
Find the following products:\( \left(\frac{x}{2}+2 y\right)\left(\frac{x^{2}}{4}-x y+4 y^{2}\right) \)
Find the following product.$\frac{1}{2} x y \times \frac{2}{3} x^{2} y z^{2}$
Find the following products:\( \frac{-8}{27} x y z\left(\frac{3}{2} x y z^{2}-\frac{9}{4} x y^{2} z^{3}\right) \)
Simplify each of the following expressions:\( (x+y+z)^{2}+\left(x+\frac{y}{2}+\frac{z}{3}\right)^{2}-\left(\frac{x}{2}+\frac{y}{3}+\frac{z}{4}\right)^{2} \)
Show that:\( \left(\frac{a^{x+1}}{a^{y+1}}\right)^{x+y}\left(\frac{a^{y+2}}{a^{z+2}}\right)^{y+z}\left(\frac{a^{z+3}}{a^{x+3}}\right)^{z+x}=1 \)
Verify: $x\times(y\times z)=(x\times y)\times z$, where $x=\frac{1}{2},\ y=\frac{1}{3}$ and $z=\frac{1}{4}$.
Express each of the following products as a monomial and verify the result for $x = 1,y = 2$:\( \left(\frac{1}{8} x^{2} y^{4}\right) \times\left(\frac{1}{4} x^{4} y^{2}\right) \times(x y) \times 5 \)
Verify that \( x^{3}+y^{3}+z^{3}-3 x y z=\frac{1}{2}(x+y+z)\left[(x-y)^{2}+(y-z)^{2}+(z-x)^{2}\right] \)
Find the product of the following binomials:(i) \( (2 x+y)(2 x+y) \)(ii) \( (a+2 b)(a-2 b) \)(iii) \( \left(a^{2}+b c\right)\left(a^{2}-b c\right) \)(iv) \( \left(\frac{4 x}{5}-\frac{3 y}{4}\right)\left(\frac{4 x}{5}+\frac{3 y}{4}\right) \)(v) \( \left(2 x+\frac{3}{y}\right)\left(2 x-\frac{3}{y}\right) \)(vi) \( \left(2 a^{3}+b^{3}\right)\left(2 a^{3}-b^{3}\right) \)(vii) \( \left(x^{4}+\frac{2}{x^{2}}\right)\left(x^{4}-\frac{2}{x^{2}}\right) \)(viii) \( \left(x^{3}+\frac{1}{x^{3}}\right)\left(x^{3}-\frac{1}{x^{3}}\right) \).

Kickstart Your Career

Get certified by completing the course

Get Started

Advertisements