Solve 2(2)^3+8(2)^2-(2)

$$2 ( 2 ) ^ { 3 } + 8 ( 2 ) ^ { 2 } - ( 2 )$$

Evaluate

$$46$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$2^{4}+8\times 2^{2}-2$$

Calculate 2 to the power of 4 and get 16.

$$16+8\times 2^{2}-2$$

Calculate 2 to the power of 2 and get 4.

$$16+8\times 4-2$$

Multiply 8 and 4 to get 32.

$$16+32-2$$

Add 16 and 32 to get 48.

$$48-2$$

Subtract 2 from 48 to get 46.

$$46$$

Factor

$$2\times 23$$