Question

Simplify completely.
3 189x5y7
√/7x²y²
3

Answer 1

3xy multiplied by the cube root of y^2

Answer 2

Answer:

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

Explanation:

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

• applying radical rule

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

• 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

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