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user100 [1]
3 years ago
12

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

Mathematics
2 answers:
Mashcka [7]3 years ago
6 0

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}

stiv31 [10]3 years ago
4 0

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

Answer: 6/5 X^3 y^2

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