Multiplication of Monomials

Q.

If $AB=A$ and $BA=B$, then $B^2$ is equal to

1. $B$

2. $A$

3. $-B$

4. $B^3$

Q. Question 5(ii)
Obtain the product of:
$2,4y,8y^2,16y^3$

Q.

Question 5(v)
Obtain the product of:
m, -mn, mnp

Q. Question 1(i)
Find the product of the following pairs of monomials:
(i) 4, 7p

Q.

If $a,b$ and $c$ are in AP, then which one of the following is not true?

1. $\frac{k}{a},\frac{k}{b},\frac{k}{c}$ are in HP

2. $a+k,b+k,c+k$ are in AP

3. $ka,kb,kc$ are in AP

4. $a^2,b^2,c^2$ are in AP

Q. Question 3(iv)
Find the products:
$x\times x^2\times x^3\times x^4$

Q. Question 1(iii)
Find the product of the following pairs of monomials:
-4p, 7pq

Q.

Question 4(iii)
Obtain the volume of rectangular boxes with the following length, breadth and height respectively:
$xy,2x^{2}y,2x{y}^2$

Q.

Question 5(iv)
Obtain the product of:
a, 2b, 3c, 6abc

Q.

Simplify: ${\left(2x+5\right)}^2-{\left(2x-5\right)}^2$.

Q. Question 3(i)
Find the products:
$\left(a^2\right)\times \left(2a^{22}\right)\times \left(4a^{26}\right)$

Q.

Question 51

Volume of a rectangular box with $l=b=h=2x$ is ___

Q. Question 83 (xiv)

Multiply the following:
$-\frac{100}{9}rs;\frac{3}{4}{r}^3{s}^2$

Q.

Question 2
Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively:
$(p,q);(10m,5n);(20x^2,5y^2);(4x,3x^2);(3mn,4np)$

Q.

State true or false:
A monomial multiplied by a monomial always gives a monomial.

1. True

2. False

Q. Question 11

Volume of a rectangular box (cuboid) with length = 2ab, breadth = 3ac and height = 2ac is
a) $12a^{3}b{c}^2$
b) $12a^{3}bc$
c) $12a^{2}bc$
d) $2ab+3ac+2ac$

Q.

D is proportional to square of S.
D = 900 when S = 20
Calculate the value of D when S = 25

Q.

Multiply $-4x{y}^3$ and $6x^{2}y$ verify your result for $x=2$ and $y=1$.

Q.

Question 81 (b)

Express each of the following in single exponential form.
$2^4\times 4^2$

Q.

The solution set of the equation $3\left[x^2+\frac{1}{x^2}\right]+16\left[x+\frac{1}{x}\right]+26=0$ is

1. $\left\{-1,-\frac{1}{3},-3\right\}$

2. $\left\{1,\frac{1}{3},3\right\}$

3. $\left\{-1,\frac{1}{3},3\right\}$

4. $\left\{1,-\frac{1}{3},3\right\}$

Q.

Multiply the following :

$-7p{q}^2{r}^3,-13p^3{q}^{2}r$

Q.

Question 47

In the question given below, fill in the blank to make the statement true:

Volume of a rectangular box with length 2x, breadth 3y and height 4z is ___.

Q.

Question 81 (a)

Express each of the following in single exponential form.
$2^3\times 3^3$

Q.

The price of a book is 4 rupees more than the price of a pen; and the price of a pencil is 2 rupees less than the price of this pen. A man bought 5 books, 2 pens and 3 pencils and paid 54 rupees for the lot. What is the price of each?

Q. Question 10

Area of a rectangle with length 4ab and breadth $6b^2$ is
a) $24a^2{b}^2$
b) $24a{b}^3$
c) $24a{b}^2$
d) $24ab$

Q. Question 1(iv)
Find the product of the following pairs of monomials:
$4p^3,-3p$

Q.

Question 4(ii)
Obtain the volume of rectangular boxes with the following length, breadth and height respectively:
2p, 4q, 8r

Q. Question 9

Product of the following monomials $4p,-7q^3,-7pq$ is
a) $196p^2{q}^4$
b) $196p{q}^4$
c) $-196p^2{q}^4$
d) $196p^2{q}^3$

Q.

If the volume of the parallelepiped formed by three non-coplanar vectors $a,b,$ and $c$ is $4$ cubic units, then $\left[a\times bb\times cc\times a\right]$ is equal to

1. $64$

2. $16$

3. $4$

4. $8$

Q.

The unit digit in the expansion of ${16}^3$ is

___