Question

23 - 2(17 + 3³)

Explanation:

Step1: Calculate the exponent

First, we need to calculate the exponent in the expression. The exponent here is \(3^3\). By the definition of exponentiation, \(3^3 = 3\times3\times3=27\).

Step2: Simplify the parentheses

Now, we simplify the expression inside the parentheses: \(17 + 3^3=17 + 27\). Adding these two numbers together, we get \(17+27 = 44\).

Step3: Multiply by the coefficient

Next, we multiply the result from the parentheses by the coefficient outside the parentheses. The coefficient is 2, so we have \(2\times44 = 88\).

Step4: Subtract from the initial number

Finally, we subtract the result from the previous step from 23. So, \(23-88=-65\).

Answer:

\(-65\)