Dividing a Monomial by a Monomial

Q.

Simplify :

$\frac{{12}^4\times 9^3\times 4}{6^3\times 8^2\times 27}$.

Q.

If $y=\frac{1}{1+x^{n-m}+x^{p-m}}+\frac{1}{1+x^{m-n}+x^{p-n}}+\frac{1}{1+x^{m-p}+x^{n-p}}$ then $\frac{dy}{dx}=$

1. $1$

2. $-1$

3. $0$

4. None of these

Q.

Simplify: $\left(x+y\right)\left(x^2-xy+y^2\right)$

Q.

Question 74

In Fig. (i) and Fig. (ii), find the ratio of the areas of the shaded portion to that of the whole figure.

Q.

Divide as directed:

$26xy(x+5)(y-4)÷13x(y-4)$

Q.

What is the coefficient of the term obtained when $24x{y}^2$ is divided by $8xy$?

1. $3y$

2. $\frac{3}{y}$

3. $y$

4. $3$

Q. Divide the sum of $-\frac{13}{5}$ and $\frac{12}{7}$ by the product of $-\frac{13}{7}$ and $-\frac{1}{2}$.

Q.

Divide $25xyzby5z$

Q.

$5x\times (-4yz)\times 3xz$ = ___

1. 15 - 4yz

2. -60xyz

3. 60 xyz

4. -60y

Q. Divide by $11x{y}^2{z}^3$ by $55xyz$

1. $\frac{2}{5}y{z}^2$
2. $\frac{1}{5}y{z}^2$
3. $\frac{1}{5}yz$
4. None

Q.

On dividing $\left(24x{y}^2\right)\left(z^2\right)$by $6y{z}^2$, we get

1. 4xz

2. 4xy

3. 4xz

4. 4xyz

Q.

Which expression represents the perimeter of the rectangle?

$(3x-3)(3x-1)$

1. $6x+2$

2. $12x-8$

3. $6x-4$

4. $12x+2$

Q.

The value of ${}^{47}{C}_4$$+\sum _{j=1}^5{}^{52-j}{C}_3$is equal to?

1. ${}^{47}{C}_5$

2. ${}^{52}{C}_5$

3. ${}^{52}{C}_4$

4. ${}^{53}C_7$

Q.

The area of the given square and rectangle are same. If the square side is 4m, and ratio of length and breadth of the rectangle is 2. Find the length of the rectangle?
[3 MARKS]

Q.

Having entered the passcode correctly, Tom got his mission. He needs to fight an enemy combatant and get information about the next clue. Tom found the room where the combatant was, but to enter the room, he needed another passcode.The passcode is the answer to the following display:

“The lock thinks that 0.36 = 3 $\times$ ${10}^a$ + 6 $\times$ ${10}^b$ and the passcode is the value (a $\times$ b)”

What is the passcode that Tom has to enter? ______ [Enter a numerical value]

___

Q. Simplify : $(12p^4-8p^2+4p)÷4p^2$

Q. $10x-25÷2x-5$

Q. Carry out the division $12a^8{b}^8÷(-6a^6{b}^4)$

1. $3a{b}^4$
2. $a^2{b}^4$
3. $-2a^2{b}^4$
4. $4a^2{b}^4$

Q.

Having entered the passcode correctly, Tom got his mission. He needs to fight an enemy combatant and get information about the next clue. Tom found the room where the combatant was, but to enter the room, he needed another passcode.The passcode is the answer to the following display:

“The lock thinks that 0.36 = 3 $\times$ ${10}^a$ + 6 $\times$ ${10}^b$ and the passcode is the value (a $\times$ b)”

What is the passcode that Tom has to enter? ______ [Enter a numerical value]

___

Q.

The value of the given expression is ___
$\left[\right[6\times \left\{\right(-6)\times (-5\left)\right\}]÷\{28+(-14-5\left)\right\}]$
$+[\{28\times (-3\left)\right\}÷(-2-2\left)\right]$
$+[\left\{\right(-4)\times (-4)\times 6\}÷(-4\left)\right]]$

Q. Divide:
$-72x^2{y}^{2}z$ by $-12xyz$

1. $6x$
2. $6x+y$
3. $6xy$
4. $6y$

Q. Simplify: $(-36a^4{b}^5{c}^6)÷\left(4a^3{b}^2{c}^2\right)$

1. $6a{b}^3{c}^4$
2. $-6a{b}^3{c}^4$
3. $-9a{b}^3{c}^4$
4. $9a{b}^3{c}^4$

Q. Divide.
$56x^3{y}^2$ by $8x^{2}y$

Q. State whether True or False.

1. True
2. False

Q. Evaluate: $4x^3{y}^3{z}^3÷12xyz$

Q. Carry out the division $-36y^3÷9y^2$

1. $y^2$
2. $3y^2$
3. $-2y$
4. $-4y$

Q. Carry out the division of $34x^3{y}^3{z}^3$ with $51x{y}^2{z}^3$.

1. $\frac{2}{3}{x}^{2}y$
2. $\frac{1}{2}xy$
3. $\frac{21}{48}{x}^{2}y$
4. $\frac{34}{3}xy$

Q.

Simplify.Write the expression using only positive exponents.

$x^{-2}·x^0$

Q. $6x^{2}yz÷3xy$ is equal to

1. $2x^{2}z$
2. 2yz
3. 2zx
4. $2y^{2}z$

Q. Simplify:
$(-72l^4{m}^5{n}^8)÷(-8l^2{m}^2{n}^3)$