Sure! Let's rewrite and simplify the expression [tex]\(3p^{-2}\)[/tex] without using a negative exponent.
### Step-by-Step Solution:
1. Understand Negative Exponent Rule:
The negative exponent rule states that [tex]\(x^{-n} = \frac{1}{x^n}\)[/tex]. This means that if we have a term with a negative exponent, we can rewrite it as the reciprocal of the term with a positive exponent.
2. Apply Negative Exponent Rule:
For the given expression [tex]\(3p^{-2}\)[/tex], we can apply the rule as follows:
[tex]\[
p^{-2} = \frac{1}{p^2}
\][/tex]
So, the expression [tex]\(3p^{-2}\)[/tex] can be rewritten as:
[tex]\[
3p^{-2} = 3 \cdot \frac{1}{p^2}
\][/tex]
3. Simplify the Expression:
We now multiply the constant 3 by the reciprocal [tex]\(\frac{1}{p^2}\)[/tex]:
[tex]\[
3 \cdot \frac{1}{p^2} = \frac{3}{p^2}
\][/tex]
### Final Answer:
The expression [tex]\(3p^{-2}\)[/tex] rewritten without a negative exponent and simplified is:
[tex]\[
\frac{3}{p^2}
\][/tex]
This completes the simplification process. The final simplified form of the expression is [tex]\(\frac{3}{p^2}\)[/tex].
