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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 5: Q.93 (page 520)

In the following exercises, simplify each expression using the properties for exponents.
$(a) 20^{0} (b) b^{0}$

Short Answer

Expert verified

The simplified form is:

$\begin{array}{rcl} (a) 20^{0} & = & 1 \\ (b) b^{0} & = & 1 \end{array}$

Step by step solution

01

Step 1

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

02

Step 2

Using the zero exponent property to simplify the expression:

$\begin{array}{rcl} (a) 20^{0} & = & 1 \\ (b) b^{0} & = & 1 \end{array}$

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Most popular questions from this chapter

Jennifer thinks the quotient $\frac{a^{24}}{a^{6}}$ simplifies to $a^{4}$ .What is wrong with her reasoning

$Find the :difference (9 b^{2} - 5 b - 4) - (3 b^{2} - 5 b - 7)$

In the following exercises, multiply the binomials. Use any method.

$(6 p + 5) (p + 1)$

Multiply (a) $(3.5 \times 10^{- 4}) (1.6 \times 10^{- 2})$ to get answer in decimal form

Divide (b) $\frac{8 \times 10^{6}}{4 \times 10^{- 1}}$ to get answer in decimal form

Convert (a) $- 8.3 \times 10^{2}$ (b) $3.8 \times 10^{- 2}$ to decimal form.

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