Question

Evaluate each expression. $$-9^{2}+9^{2}$$

   Evaluate each expression.
$$-9^{2}+9^{2}$$

Prealgebra

Alan S. Tussy, R.… 4th Edition

Chapter 2, Problem 86

Instant Answer

Solved by Expert Jeyasree R T

07/22/2020

Step 1

The exponent of $-9^{2}$ is $(-9)*(-9)$ which equals 81. Similarly, the exponent of $9^{2}$ is $9*9$ which also equals 81. So, the expression becomes $81 + 81$. Show more…

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Evaluate each expression. $$-9^{2}+9^{2}$$

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Key Concepts

Order of Operations

This concept dictates the sequence in which operations are performed in an expression. In the given expression, exponentiation is executed before handling the multiplication of the negative sign, which is why the square of 9 is computed prior to applying the negative sign.

Exponentiation

Exponentiation involves raising a number to a power, and in the context of the expression, 9 is raised to the power of 2. The operation must be handled before any additional multiplication or addition, and special care is required when a negative sign is present without parentheses.

Negative Signs and Parentheses

When a negative sign is placed in front of an exponentiation without parentheses, it is not included within the exponentiation. This means that for -9², the exponent applies only to 9, and the negative sign is applied afterwards, effectively making it -1*(9²).

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