Solve 4left(4^2+5*4+6right)^3left(2*4+5right)

$$4 { \left( { 4 }^{ 2 } +5 \cdot 4+6 \right) }^{ 3 } \left( 2 \cdot 4+5 \right)$$

Evaluate

$$3852576$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$4\left(16+5\times 4+6\right)^{3}\left(2\times 4+5\right)$$

Multiply 5 and 4 to get 20.

$$4\left(16+20+6\right)^{3}\left(2\times 4+5\right)$$

Add 16 and 20 to get 36.

$$4\left(36+6\right)^{3}\left(2\times 4+5\right)$$

Add 36 and 6 to get 42.

$$4\times 42^{3}\left(2\times 4+5\right)$$

Calculate 42 to the power of 3 and get 74088.

$$4\times 74088\left(2\times 4+5\right)$$

Multiply 4 and 74088 to get 296352.

$$296352\left(2\times 4+5\right)$$

Multiply 2 and 4 to get 8.

$$296352\left(8+5\right)$$

Add 8 and 5 to get 13.

$$296352\times 13$$

Multiply 296352 and 13 to get 3852576.

$$3852576$$

Factor

$$2^{5}\times 3^{3}\times 7^{3}\times 13$$