Find following product: (-7xy) (1 4 x^2yz ) - Vidyadip

Question

Find following product:
$(-7\text{xy})\times\big(\frac{1}{4}\text{x}^2\text{yz}\big)$

✓

Answer

To multiply algebraic expressions, we can use commutative and associative laws along with the law of indices, $a^m \times$ $a^n=a^{m+n}$.
We have:
$(-7\text{xy})\times\big(\frac{1}{4}\text{x}^2\text{yz}\big)$
$=\big[\big(-7×\frac{1}{4}\big)\big]×\big(\text{x}×\text{x}^2\big)\times(\text{y}\times\text{y})\times\text{z}$
$=\big[\big(-7×\frac{1}{4}\big)\big]×\big(\text{x}^{\text{1+2}}\big)\times(\text{y}^{1+1}\big)\times\text{z}$
$=−\frac{7}{4}\text{x}^3\text{y}^2\text{z}.$
Thus, the answer is $−\frac{7}{4}\text{x}^3\text{y}^2\text{z}.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "3 Mark Question" from Algebraic Expressions and Identities→Algebraic Expressions and Identities — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

A flooring tile has the shape of a parallelogram whose base is 24 cm and the corresponding height is 10 cm . How many such tiles are required to cover a floor of area $1080 m^2$ ?

Anand obtained a loan of Rs. 125000 from the Allahabad Bank for buying computers. The bank charges compound interest at 8% per annum, compounded annually. What amount wil he have to pay after 3 years to clear the debt?

Rakesh can do a piece of work in 20 days. How much work can he do in 4 days?

Verify the property: x × (y + z) = x × y + x × z by taking:
$\text{x}=\frac{-3}{4},\text{y}=\frac{-5}{2},\text{z}=\frac{7}{6}$

Is a square prism same as a cube?

Verify Euler's relation for the following:
A square pyramid.

A rectangular sheet of paper, 44cm × 20cm, is rolled along its length to form a cylinder. Find the volume of the cylinder so formed.

Find following product:
$\frac{1}{4}\text{xy}×\frac{2}{3}\text{x}^2\text{yz}^2$

Write the following rational numbers in decimal form. : $\frac{9}{37}$

Solve Cryptarithms.
$\ \ \ \ \ \ \ \ \ \ \ 3\ \ \ \ 7\\\ \ \ \ \ \underline{+\text{A}\ \ \ \ \text{B}\ }\\\ \ \ \ \ {\ \ \ \ \ \ 9\ \ \ \ \text{A}\ }$