Solve 16(x^3y)/2(xy^0)^4

$$\frac { 16 ( x ^ { 3 } y ) } { 2 ( x y ^ { 0 } ) ^ { 4 } }$$

Evaluate

$$\frac{8y}{x}$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{8yx^{3}}{\left(xy^{0}\right)^{4}}$$

Calculate y to the power of 0 and get 1.

$$\frac{8yx^{3}}{\left(x\times 1\right)^{4}}$$

Expand \left(x\times 1\right)^{4}.

$$\frac{8yx^{3}}{x^{4}\times 1^{4}}$$

Calculate 1 to the power of 4 and get 1.

$$\frac{8yx^{3}}{x^{4}\times 1}$$

Cancel out x^{3} in both numerator and denominator.

$$\frac{8y}{x}$$

Expand

$$\frac{8y}{x}$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{8yx^{3}}{\left(xy^{0}\right)^{4}}$$

Calculate y to the power of 0 and get 1.

$$\frac{8yx^{3}}{\left(x\times 1\right)^{4}}$$

Expand \left(x\times 1\right)^{4}.

$$\frac{8yx^{3}}{x^{4}\times 1^{4}}$$

Calculate 1 to the power of 4 and get 1.

$$\frac{8yx^{3}}{x^{4}\times 1}$$

Cancel out x^{3} in both numerator and denominator.

$$\frac{8y}{x}$$