Question

1. evaluate: - (6 - 2)^3
2. evaluate: (4^2 - 5)^0

Explanation:

Problem 8:

Step1: Simplify inside the parentheses

First, calculate the value inside the parentheses: \(6 - 2 = 4\). So the expression becomes \(-(4)^{3}\).

Step2: Calculate the exponentiation

Next, calculate \(4^{3}\). We know that \(4^{3}=4\times4\times4 = 64\).

Step3: Apply the negative sign

Now, apply the negative sign to the result of the exponentiation: \(-64\).

Step1: Simplify inside the parentheses

First, calculate the value inside the parentheses. Calculate \(4^{2}=16\), then subtract 5: \(16 - 5 = 11\). So the expression becomes \(11^{0}\).

Step2: Apply the zero - exponent rule

Recall the zero - exponent rule: for any non - zero number \(a\), \(a^{0}=1\). Since \(11
eq0\), \(11^{0}=1\).

Answer:

\(-64\)

Problem 9: