/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 56 Evaluate each exponential expres... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Evaluate each exponential expression. \((-6)^{2}\)

Short Answer

Expert verified
The evaluation of \((-6)^{2}\) is 36.

Step by step solution

01

Identify the base and the exponent

The base in the expression \((-6)^{2}\) is -6, and the exponent is 2. According to the law of exponents, the base -6 should be multiplied by itself as many times as the number of times indicated by the exponent.
02

Multiply the base by itself

As explained, -6 should be multiplied by itself once (since the exponent is 2, i.e., one more multiplication after the initial number), so the calculation will be \(-6*-6\). When a negative number is multiplied by another negative number, the result is always a positive number.
03

Evaluate the expression

Calculate \(-6*-6\) to get the result. So, \((-6)^{2}\) equals 36.
04

Write down the result

The result of the calculation is 36. Therefore, \((-6)^{2}\) = 36

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