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Chapter 1: Problem 24

Evaluate. $$-6^{2}$$

Short Answer

Expert verified
The expression \(-6^2\) should be evaluated as \(-(6^2)\). First, evaluate the exponent: \(6^2 = 36\). Then, apply the negative sign: \(-36\). So, the final result is \(-6^2 = -36\).

Step by step solution

01

Understand the Order of Operations

In this expression, we have a negative number raised to the power of 2. It is important to remember the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). In this case, the exponent comes before the negative sign, so the expression should be evaluated as: \(-(6^2)\).
02

Evaluate the Exponent

Now, we need to evaluate the expression \(6^2\), which means 6 multiplied by itself: \(6 \times 6\). This evaluates to \(6 \times 6 = 36\).
03

Apply the Negative Sign

Finally, we apply the negative sign to the result from the previous step: \(-36\). The final result of the expression is \(-6^2 = -36\).

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