Question

complete the sentences using the bank below.
negative exponent property zero positive
zero exponent property expression negative

1. according to the \boxed{zep}, any

nonzero number with an exponent of \boxed{z} is equal to 1.

1. according to the \boxed{nep}, the

\boxed{e} $a^{-n}$ can be rewritten as $\frac{1}{a^n}$, when $a$ and $n \
eq 0$.

1. an exponent changes from \boxed{p} to \boxed{n}

when it moves from the numerator to the denominator.
for each equation, write zero exponent property or negative exponent property.
$5^{-3} = \frac{1}{125}$ $82^0 = 1$
$-(6^0) = -1$ $7^{-2} = \frac{1}{49}$

Explanation:

Step1: Fill sentence 1 blanks

Match rule to zero exponent:
First blank: Zero Exponent Property
Second blank: zero

Step2: Fill sentence 2 blanks

Match rule to negative exponent:
First blank: Negative Exponent Property
Second blank: expression

Step3: Fill sentence 3 blanks

Exponent sign flips with position:
First blank: negative
Second blank: positive

Step4: Classify first equation

$5^{-3}=\frac{1}{125}$ uses negative exponent rule: Negative Exponent Property

Step5: Classify second equation

$82^0=1$ uses zero exponent rule: Zero Exponent Property

Step6: Classify third equation

$-(6^0)=-1$ uses zero exponent rule: Zero Exponent Property

Step7: Classify fourth equation

$7^{-2}=\frac{1}{49}$ uses negative exponent rule: Negative Exponent Property

Answer:

Completed Sentences:

1. According to the Zero Exponent Property, any nonzero number with an exponent of zero is equal to 1.
2. According to the Negative Exponent Property, the expression $a^{-n}$ can be rewritten as $\frac{1}{a^n}$, when $a$ and $n

eq 0$.

1. An exponent changes from negative to positive when it moves from the numerator to the denominator.

Equation Classification:

• $5^{-3}=\frac{1}{125}$: Negative Exponent Property
• $82^0=1$: Zero Exponent Property
• $-(6^0)=-1$: Zero Exponent Property
• $7^{-2}=\frac{1}{49}$: Negative Exponent Property