Questions: Write the expression with only positive exponents. Assume all variables represent nonzero numbers. Simplify if necessary. r^(-2) Select one: a. 1/(r^2) b. -1/r^2 c. -r^2 d. r^(1 / 2)

Write the expression with only positive exponents. Assume all variables represent nonzero numbers. Simplify if necessary.
r^(-2)

Select one:
a. 1/(r^2)
b. -1/r^2
c. -r^2
d. r^(1 / 2)
Transcript text: Write the expression with only positive exponents. Assume all variables represent nonzero numbers. Simplify if necessary. $r^{-2}$ Select one: a. $\frac{1}{\mathrm{r}^{2}}$ b. $-\frac{1}{r^{2}}$ C. $-r^{2}$ d. $r^{1 / 2}$
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Solution

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Solution Steps

To rewrite the expression \( r^{-2} \) with only positive exponents, we use the property of exponents that states \( a^{-n} = \frac{1}{a^n} \). Therefore, \( r^{-2} \) can be rewritten as \( \frac{1}{r^2} \).

Step 1: Identify the Given Expression

The given expression is \( r^{-2} \).

Step 2: Apply the Property of Exponents

To rewrite the expression with only positive exponents, we use the property of exponents that states \( a^{-n} = \frac{1}{a^n} \).

Step 3: Rewrite the Expression

Using the property from Step 2, we can rewrite \( r^{-2} \) as \( \frac{1}{r^2} \).

Final Answer

\(\boxed{\frac{1}{r^2}}\)

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