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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q.95 (page 520)

In the following exercises, simplify each expression using the properties for exponents.
$(a) - 27^{0} (b) - {(27)}^{0}$

Short Answer

Expert verified

The simplified form is:

$\begin{array}{rcl} (a) - 27^{0} & = & 1 \\ (b) - {(27)}^{0} & = & - 1 \end{array}$

Step by step solution

01

Step 1

The Zero exponent property is defined as $a^{0} = 1, a 鈮� 0$ .

02

Step 2

Using the zero exponent property, simplify the expression:

(a) $- 27$ is a non zero number, so,

role="math" localid="1644992838982" $\begin{array}{rcl} - 27^{0} & = & {(- 27)}^{0} \\ = & 1 \end{array}$

(b) 27 is a non zero number, so,

$\begin{array}{rcl} - {(27)}^{0} & = & - (1) \\ = & - 1 \end{array}$

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