Solve (4^3/y)^3=?

$$( \frac { 4 ^ { 3 } } { y } ) ^ { 3 } = ?$$

Evaluate

$$\frac{262144}{y^{3}}$$

Solution Steps

Calculate 4 to the power of 3 and get 64.

$$\left(\frac{64}{y}\right)^{3}$$

To raise \frac{64}{y} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{64^{3}}{y^{3}}$$

Calculate 64 to the power of 3 and get 262144.

$$\frac{262144}{y^{3}}$$

Expand

$$\frac{262144}{y^{3}}$$

Solution Steps

Calculate 4 to the power of 3 and get 64.

$$\left(\frac{64}{y}\right)^{3}$$

To raise \frac{64}{y} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{64^{3}}{y^{3}}$$

Calculate 64 to the power of 3 and get 262144.

$$\frac{262144}{y^{3}}$$