Question

(4x^ 2 y^ 3 ).(2xy^ 4 )=

Answer 1

4x^2 y^3 × 2xy^4 =

4 × 2 × x^2 × x^1 × y^3 × y^4 =

8 × x^(2 + 1) × y^(3 + 4) =

8 × x^3 × y^7 =

8x^3 y^7

Answer 2

ANS

step 1- Equation at the end of step

step 2- Equation at the end of step

step 3- simplify

`\\ \frac{ {2}^(2) {x}^(2) {y}^(3) }{ {2xy}^(4) }`

step 4- Dividing exponential expressions

`\: {x}^(2) divided \: by \: {x}^(1) = {x}^((2 - 1)) = {x}^(1) = x`

step 5- Dividing exponential expressions

`\: \: {y}^(3) divided \: by \: {y}^(4) = {y}^((3 - 4)) = {y}^( - 1) = \frac{1}{ {y}^(1) } = (1)/(y)`

step 6- Dividing exponents

`\: {2}^(2) divided \: by \: {2}^(1) = {2}^((2 - 1)) = {2}^(1) = 2`

Final result

`\\ (2x)/(y)`

Thank You !!!