Solve (3m^2)^3/10n^-1

$$\frac { ( 3 m ^ { 2 } ) ^ { 3 } } { 10 n ^ { - 1 } }$$

Evaluate

$$\frac{27nm^{6}}{10}$$

Solution Steps

Expand \left(3m^{2}\right)^{3}.

$$\frac{3^{3}\left(m^{2}\right)^{3}}{10n^{-1}}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$\frac{3^{3}m^{6}}{10n^{-1}}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{27m^{6}}{10n^{-1}}$$

Expand

$$\frac{27nm^{6}}{10}$$

Solution Steps

Expand \left(3m^{2}\right)^{3}.

$$\frac{3^{3}\left(m^{2}\right)^{3}}{10n^{-1}}$$

To raise a power to another power, multiply the exponents. Multiply 2 and 3 to get 6.

$$\frac{3^{3}m^{6}}{10n^{-1}}$$

Calculate 3 to the power of 3 and get 27.

$$\frac{27m^{6}}{10n^{-1}}$$