Question

Select the correct answer.
Simplify the expression.

Answer 1

Answer: Option D :-

Explanation:

transform the equation

rewrite the expression

Simplify the radical expression

Multiply

Explanation:

Answer 2

Option D :-
`\sf \: 18 {x}^(2) {y}^(2) \sqrt[3]{3 {xy}^(2) }`

Explanation:

`\sf \: 3x\sqrt[3]{648 {x}^(4) {y}^(8) }`

transform the equation

`\rightarrow \sf \: 3x\sqrt[3]{ {6}^(3) * {3x}^(2) * {xy}^(6) * {y}^(2) }`

rewrite the expression

`\rightarrow \sf \: 3x * \sqrt[3]{ {6}^(3)} *\sqrt[3]{ {3x}^(2)} * \sqrt[3]{ {xy}^(6) } * \sqrt[3]{{y}^(2) }`

Simplify the radical expression

`\rightarrow \sf \: 3x * {6xy}^(2) \sqrt[3]{3xy {}^(2) }`

Multiply

`\sf \: 18 {x}^(2) {y}^(2) \sqrt[3]{3 {xy}^(2) }`