Question
Find the product:
$ 0.1 y\left(0.1 x^5+0.1 y\right) $
$ 0.1 y\left(0.1 x^5+0.1 y\right) $
✓
Answer
To find the product, we will use distributive law as follows:
$ 0.1 y\left(0.1 x^5+0.1 y\right) $
$ =(0.1 y)\left(0.1 x^5\right)+(0.1 y)(0.1 y) $
$ =(0.1 \times 0.1)\left(y \times x^5\right)+(0.1 \times 0.1)(y \times y) $
$ =(0.1 \times 0.1)\left(x^5 \times y\right)+(0.1 \times 0.1)\left(y^{1+1}\right) $
$ =0.01 x^5 y+0.01 y^2 $
Thus, the answer is $0.01 x^5 y+0.01 y^2 $
$ 0.1 y\left(0.1 x^5+0.1 y\right) $
$ =(0.1 y)\left(0.1 x^5\right)+(0.1 y)(0.1 y) $
$ =(0.1 \times 0.1)\left(y \times x^5\right)+(0.1 \times 0.1)(y \times y) $
$ =(0.1 \times 0.1)\left(x^5 \times y\right)+(0.1 \times 0.1)\left(y^{1+1}\right) $
$ =0.01 x^5 y+0.01 y^2 $
Thus, the answer is $0.01 x^5 y+0.01 y^2 $
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Factorise: $x^4– (x – z)^4$
→CASE is a square. The points U, V, W and X are the midpoints of the sides of the square. What type of quadrilateral is UVWX? Find this by using geometric reasoning, as well as by construction and measurement. Find other ways of constructing a square within a square such that the vertices of the inner square lie on the sides of the outer square, as shown in Figure (b).
A wooden box (including the lid) has external dimensions $40\ cm$ by $34\ cm$ by $30\ cm$. If the wood is $1\ cm$ thick, how many $cm^3$ of wood is used in it?
→By what number should $\frac{-3}{4}$ be multiplied in order to produce $\frac{2}{3}$?
→The value of a machine depreciates at the rate of $10\%$ per annum. It was purchased $3$ years ago. If its present value is $Rs.291600,$ for how much was it purchased$?$
→Find the squares of the following numbers using the identity $(a+b)^2=a^2-a b+a b+b^2: 52$
→$A, B$ and $C$ working together can finish a piece of work in $8$ hours. $A$ alone can do it $20$ hours and $B$ alone can do it in $24$ hours. In how many hours will $C$ alone do the same work?
→The following is the distribution of weights $($in $kg)$ of $52$ persons:
→|
Weight in kg
|
Persons
|
|
$30-40$
|
$10$
|
|
$40-50$
|
$15$
|
|
$50-60$
|
$17$
|
|
$60-70$
|
$6$
|
|
$70-80$
|
$4$
|
$i.$ What is the lower limit of class $50-60?$
$ii.$ Find the class marks of the classes $40-50, 50-60.$
$iii.$ What is the class size?
If $3x + 5y = 11$ and $xy = 2$, find the value of $9x^2+ 25y^2$
→For each of the following numbers, find the smallest, whole number by which it should be divided, so as to get a perfect square. Also, find the square root of the square number so obtained.
2925
2925