Solve -yx^2z^3(4y^0z)^2

$$- y x ^ { 2 } z ^ { 3 } ( 4 y ^ { 0 } z ) ^ { 2 }$$

Evaluate

$$-16yx^{2}z^{5}$$

Solution Steps

Calculate y to the power of 0 and get 1.

$$\left(-y\right)x^{2}z^{3}\times \left(4\times 1z\right)^{2}$$

Multiply 4 and 1 to get 4.

$$\left(-y\right)x^{2}z^{3}\times \left(4z\right)^{2}$$

Expand \left(4z\right)^{2}.

$$\left(-y\right)x^{2}z^{3}\times 4^{2}z^{2}$$

Calculate 4 to the power of 2 and get 16.

$$\left(-y\right)x^{2}z^{3}\times 16z^{2}$$

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$\left(-y\right)x^{2}z^{5}\times 16$$

Multiply -1 and 16 to get -16.

$$-16yx^{2}z^{5}$$

Expand

$$-16yx^{2}z^{5}$$

Solution Steps

Calculate y to the power of 0 and get 1.

$$\left(-y\right)x^{2}z^{3}\times \left(4\times 1z\right)^{2}$$

Multiply 4 and 1 to get 4.

$$\left(-y\right)x^{2}z^{3}\times \left(4z\right)^{2}$$

Expand \left(4z\right)^{2}.

$$\left(-y\right)x^{2}z^{3}\times 4^{2}z^{2}$$

Calculate 4 to the power of 2 and get 16.

$$\left(-y\right)x^{2}z^{3}\times 16z^{2}$$

To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.

$$\left(-y\right)x^{2}z^{5}\times 16$$

Multiply -1 and 16 to get -16.

$$-16yx^{2}z^{5}$$