Solve (m^2/10f^6)^2

$$( \frac { m ^ { 2 } } { 10 f ^ { 6 } } ) ^ { 2 }$$

Evaluate

$$\frac{m^{4}}{100f^{12}}$$

Solution Steps

To raise \frac{m^{2}}{10f^{6}} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(m^{2}\right)^{2}}{\left(10f^{6}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$\frac{m^{4}}{\left(10f^{6}\right)^{2}}$$

Expand \left(10f^{6}\right)^{2}.

$$\frac{m^{4}}{10^{2}\left(f^{6}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply 6 and 2 to get 12.

$$\frac{m^{4}}{10^{2}f^{12}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{m^{4}}{100f^{12}}$$

Expand

$$\frac{m^{4}}{100f^{12}}$$

Solution Steps

To raise \frac{m^{2}}{10f^{6}} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(m^{2}\right)^{2}}{\left(10f^{6}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.

$$\frac{m^{4}}{\left(10f^{6}\right)^{2}}$$

Expand \left(10f^{6}\right)^{2}.

$$\frac{m^{4}}{10^{2}\left(f^{6}\right)^{2}}$$

To raise a power to another power, multiply the exponents. Multiply 6 and 2 to get 12.

$$\frac{m^{4}}{10^{2}f^{12}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{m^{4}}{100f^{12}}$$