Solve 21left(3wright)^3left(2gright)^2

$$21 { \left(3w \right) }^{ 3 } { \left(2g \right) }^{ 2 }$$

Evaluate

$$2268g^{2}w^{3}$$

Solution Steps

Expand \left(3w\right)^{3}.

$$21\times 3^{3}w^{3}\times \left(2g\right)^{2}$$

Calculate 3 to the power of 3 and get 27.

$$21\times 27w^{3}\times \left(2g\right)^{2}$$

Multiply 21 and 27 to get 567.

$$567w^{3}\times \left(2g\right)^{2}$$

Expand \left(2g\right)^{2}.

$$567w^{3}\times 2^{2}g^{2}$$

Calculate 2 to the power of 2 and get 4.

$$567w^{3}\times 4g^{2}$$

Multiply 567 and 4 to get 2268.

$$2268w^{3}g^{2}$$

Expand

$$2268g^{2}w^{3}$$

Solution Steps

Expand \left(3w\right)^{3}.

$$21\times 3^{3}w^{3}\times \left(2g\right)^{2}$$

Calculate 3 to the power of 3 and get 27.

$$21\times 27w^{3}\times \left(2g\right)^{2}$$

Multiply 21 and 27 to get 567.

$$567w^{3}\times \left(2g\right)^{2}$$

Expand \left(2g\right)^{2}.

$$567w^{3}\times 2^{2}g^{2}$$

Calculate 2 to the power of 2 and get 4.

$$567w^{3}\times 4g^{2}$$

Multiply 567 and 4 to get 2268.

$$2268w^{3}g^{2}$$