Question

What is the expression in radical form? (4x^3y^2)3/10

Answer 1

Answer:

$(4x^3y^2)^{\frac{3}{10}}=\sqrt[5]{8y^3}\times \sqrt[10]{x^9}$

Step-by-step explanation:

Given : Expression $(4x^3y^2)^{\frac{3}{10}}$

To find : What is the expression in radical form?

Solution :

The radical form is writing number in square roots, cube roots.

Expression $(4x^3y^2)^{\frac{3}{10}}$

Distribute power into terms,

$(4x^3y^2)^{\frac{3}{10}}=(4)^{\frac{3}{10}}\times (x^3)^{\frac{3}{10}}\times (y^2)^{\frac{3}{10}}$

$(4x^3y^2)^{\frac{3}{10}}=(2)^{\frac{3\times 2}{10}}\times (x)^{\frac{3\times 3}{10}}\times (y)^{\frac{3\times 2}{10}}$

$(4x^3y^2)^{\frac{3}{10}}=(2)^{\frac{3}{5}}\times (x)^{\frac{9}{10}}\times (y)^{\frac{3}{5}}$

$(4x^3y^2)^{\frac{3}{10}}=\sqrt[5]{(2)^{3}}\times \sqrt[10]{x^9}\times \sqrt[5]{y^{3}}$

$(4x^3y^2)^{\frac{3}{10}}=\sqrt[5]{8}\times \sqrt[10]{x^9}\times \sqrt[5]{y^{3}}$

Therefore, The radical form is $(4x^3y^2)^{\frac{3}{10}}=\sqrt[5]{8y^3}\times \sqrt[10]{x^9}$

Answer 2

4x^3y^2(3) /10

Answer: 6/5 X^3 y^2