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)
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. $r^{1 / 2}$
Solution
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 \( \frac{1}{r^2} \).