1. An expression is shown. \( 2\left[3\left(4^{2}+1\right)\right]-2^{3} \) What is the value of the expression

First, let's simplify the expression step-by-step. We start with \( 4^2 + 1 \): \[ 4^2 = 16 \quad \text{so} \quad 4^2 + 1 = 16 + 1 = 17 \] Now we can substitute this value back into the expression: \[ 2\left[3\left(17\right)\right]-2^{3} \] Next, we calculate \( 3 \times 17 \): \[ 3 \times 17 = 51 \] This allows us to rewrite the expression as: \[ 2\left[51\right]-2^{3} \] Now we compute \( 2 \times 51 \): \[ 2 \times 51 = 102 \] Next, calculate \( 2^3 \): \[ 2^3 = 8 \] Finally, substituting back, we have: \[ 102 - 8 = 94 \] So, the value of the expression is: \[ \boxed{94} \]