Solve left(0*5{y}^frac{1{3}}-2right)left(0*25{y}^frac{2{3}}+{y}^frac{1{3}}+4right)

$$\left( 0 \cdot 5 { y }^{ \frac{ 1 }{ 3 } } -2 \right) \left( 0 \cdot 25 { y }^{ \frac{ 2 }{ 3 } } + { y }^{ \frac{ 1 }{ 3 } } +4 \right)$$

Evaluate

$$-2\sqrt[3]{y}-8$$

Solution Steps

Multiply 0 and 5 to get 0.

$$\left(0y^{\frac{1}{3}}-2\right)\left(0\times 25y^{\frac{2}{3}}+y^{\frac{1}{3}}+4\right)$$

Multiply 0 and 25 to get 0.

$$\left(0y^{\frac{1}{3}}-2\right)\left(0y^{\frac{2}{3}}+y^{\frac{1}{3}}+4\right)$$

Use the distributive property to multiply 0y^{\frac{1}{3}}-2 by 0y^{\frac{2}{3}}+y^{\frac{1}{3}}+4 and combine like terms.

$$3\times 0+0\left(y^{\frac{1}{3}}\right)^{2}-2y^{\frac{1}{3}}-8$$

To raise a power to another power, multiply the exponents. Multiply \frac{1}{3} and 2 to get \frac{2}{3}.

$$3\times 0+0y^{\frac{2}{3}}-2y^{\frac{1}{3}}-8$$

Multiply 3 and 0 to get 0.

$$0+0y^{\frac{2}{3}}-2y^{\frac{1}{3}}-8$$

Subtract 8 from 0 to get -8.

$$-8+0y^{\frac{2}{3}}-2y^{\frac{1}{3}}$$

Factor

$$2\left(-\sqrt[3]{y}-4\right)$$