Question

*Solve: 12x³y² ÷ 3xy*

1️⃣ 4xy²
2️⃣ 3xy²
3️⃣ 3x²y
4️⃣ 4x²y​

Answer 1

Step-by-step explanation:

1) 4xy²

I hope it is helpful for you

Answer 2

Answer:

Required value of given term is 4x²y.

Option 4 is the correct answer.

Step-by-step explanation:

Given,12x³y² ÷ 3xy

We want to solve this problem,

$12x³y² ÷ 3xy = \frac{12 {x}^{3} {y}^{2} }{3xy}$

$= \frac{12}{3} \times \frac{ {x}^{3} }{x} \times \frac{ {y}^{2} }{y} = \frac{2 \times 2 \times 3}{3} \times \frac{ {x}^{3} }{x} \times \frac{ {y}^{2} }{y}$

$= 4 {x}^{3 - 1} {y}^{2 - 1}$

$= 4 {x}^{2} y$

Value of the given term is $4 {x}^{2} y$

Here applied formulas are$\frac{ {x}^{y} }{ {x}^{z} } = {x}^{y - z}$

This is a problem of power of indices,

Some other formulas of power of indices,

${x}^{0} = 1 \\ {x}^{1} = x \\ { {x}^{(y)} }^{(z)} = {x}^{yz} \\ {x}^{y} \times {x}^{z} = {x}^{y + z}$