Question

Which expression is equivalent to 7 sqrt x^2/5 sqrt y^3

Answer 1

Answer:

Option A $x^{\frac{2}{7}}*y^{-\frac{3}{5}}$

Step-by-step explanation:

we have

$\frac{\sqrt[7]{x^{2}}}{\sqrt[5]{y^{3}}}$

we know that

$\sqrt[7]{x^{2}}=x^{\frac{2}{7}}$

$\sqrt[5]{y^{3}}=y^{\frac{3}{5}}$

substitute in the expression

$\frac{x^{\frac{2}{7}}}{y^{\frac{3}{5}}}=x^{\frac{2}{7}}*y^{-\frac{3}{5}}$

Answer 2

Answer:

The correct option is 1

Step-by-step explanation:

Given the expression

$\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}$

we have to simplify the above

$\sqrt[7]{x^2}=(x^2)^{\frac{1}{7}}=x^{\frac{2}{7}}$

$\sqrt[5]{y^3}=(y^3)^{\frac{1}{5}}=y^{\frac{3}{5}}$

The expression becomes

$\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}=\frac{x^{\frac{2}{7}}}{y^{\frac{3}{5}}}=[x^{\frac{2}{7}}][y^{\frac{-3}{5}}]$

Hence, the correct option is 1