Solve (y*1/z)^2

$$( y \times \frac { 1 } { z } ) ^ { 2 }$$

Evaluate

$$\left(\frac{y}{z}\right)^{2}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(y^{1}\times \frac{1}{z}\right)^{2}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$\left(y^{1}\right)^{2}\times \left(\frac{1}{z}\right)^{2}$$

To raise a power to another power, multiply the exponents.

$$y^{2}z^{-2}$$

Multiply -1 times 2.

$$y^{2}\times \frac{1}{z^{2}}$$

Expand

$$\left(\frac{y}{z}\right)^{2}$$

Solution Steps

Use the rules of exponents to simplify the expression.

$$\left(y^{1}\times \frac{1}{z}\right)^{2}$$

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

$$\left(y^{1}\right)^{2}\times \left(\frac{1}{z}\right)^{2}$$

To raise a power to another power, multiply the exponents.

$$y^{2}z^{-2}$$

Multiply -1 times 2.

$$y^{2}\times \frac{1}{z^{2}}$$