Solve 2*3^2-2^4+(5-2*3)^4

$$2 \cdot 3 ^ { 2 } - 2 ^ { 4 } + ( 5 - 2 \cdot 3 ) ^ { 4 }$$

Evaluate

$$3$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$2\times 9-2^{4}+\left(5-2\times 3\right)^{4}$$

Multiply 2 and 9 to get 18.

$$18-2^{4}+\left(5-2\times 3\right)^{4}$$

Calculate 2 to the power of 4 and get 16.

$$18-16+\left(5-2\times 3\right)^{4}$$

Subtract 16 from 18 to get 2.

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

Multiply 2 and 3 to get 6.

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

Subtract 6 from 5 to get -1.

$$2+\left(-1\right)^{4}$$

Calculate -1 to the power of 4 and get 1.

$$2+1$$

Add 2 and 1 to get 3.

$$3$$

Factor

$$3$$