Question

Compute, as indicated. $$-11^{2}-(-11)^{2}$$

   Compute, as indicated.
$$-11^{2}-(-11)^{2}$$

Basic Mathematical Skills with Geometry

Basic Mathematical Skills with Geometry

Stefan Baratto,… 8th Edition

Chapter 10, Problem 70

Instant Answer

Solved by Expert Amy Jiang

07/16/2020

Step 1

The square of any number (negative or positive) is always positive. So, $(-11)^{2} = 121$. Show more…

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Compute, as indicated. $$-11^{2}-(-11)^{2}$$

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Key Concepts

Order of Operations

This concept governs the sequence in which mathematical operations are performed. In expressions involving exponentiation and negation, exponentiation is executed before applying a negative sign unless parentheses dictate otherwise. Understanding this rule helps correctly interpret expressions like -a^2 versus (-a)^2.

Exponentiation with Negative Numbers

This concept differentiates between exponentiating a negative number with parentheses, which applies the exponent to the negative number as a whole, and exponentiating a number first before applying a negation. For example, (-a)^2 is interpreted as multiplying -a by itself, whereas -a^2 is interpreted as the negative of a squared.

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