What is (6\sqrt[3]{x^7y^5})/(2\sqrt[3]{xy^2)} ?

The solution to (6\sqrt[3]{x^7y^5})/(2\sqrt[3]{xy^2)} is 3x^2y

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simplify (6\sqrt[3]{x^7y^5})/(2\sqrt[3]{xy^2)}

simplify

3 x^{2} y

Solution steps

Factor the number:

6 = 2 \cdot 3

Cancel the common factor:

2

Apply radical rule:

assuming

a \geq 0, b \geq 0

Apply radical rule:

assuming

a \geq 0, b \geq 0

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

x^{7} = x x^{6}

Apply radical rule:

assuming

a \geq 0, b \geq 0

Cancel the common factor:

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

y^{5} = y^{2} y^{3}

Apply radical rule:

assuming

a \geq 0, b \geq 0

Cancel the common factor:

Simplify

= 3 x^{2} y

12 + 4

17 - 6

20 - 4

3 (2 x - 2)

30 - 6

What is (6\sqrt[3]{x^7y^5})/(2\sqrt[3]{xy^2)} ?
The solution to (6\sqrt[3]{x^7y^5})/(2\sqrt[3]{xy^2)} is 3x^2y