Question

Simplify completely.
3 189x5y7
√/7x²y²
3

Answer 1

3xy multiplied by the cube root of y^2

Answer 2

`\large \boxed{\sf 3x\sqrt[3]{y^5}}`

Step-by-step explanation:

`\rightarrow \frac{\sqrt[3]{\sf 189x^5y^7}}{\sqrt[3]{\sf 7x^2y^2}}`

• applying radical rule

`\rightarrow \sf \sqrt[3]{(\sf 189x^5y^7)/(\sf 7x^2y^2)}`

• simplify

`\rightarrow \sqrt[3]{\sf 27x^3y^5}`

• put cubic root

`\rightarrow \sqrt[3]{\sf 27} \sqrt[3]{\sf {x^3} }\sqrt[3]{\sf y^5}}`

• simplify

`\rightarrow \sf 3x\sqrt[3]{y^5}`