Solve (125y^75)^(2/3)

Evaluate

(125 y^{7} \times 5)^{\frac{2}{3}}

Multiply the terms

(625 y^{7})^{\frac{2}{3}}

To raise a product to a power,raise each factor to that power

62 5^{\frac{2}{3}} (y^{7})^{\frac{2}{3}}

Evaluate the power

More Steps

62 5^{\frac{2}{3}} y^{\frac{14}{3}}

Use a^{\frac{m}{n}} = n a^{m} to transform the expression

More Steps

25 3 5^{2} \times y^{\frac{14}{3}}

Use a^{\frac{m}{n}} = n a^{m} to transform the expression

25 3 5^{2} \times 3 y^{14}

Simplify the radical expression

More Steps

25 3 5^{2} \times y^{4} 3 y^{2}

Solution

25 y^{4} 3 25 y^{2}

Simplify the expression