Question
Identify the simplified form of the expression r−4p−8
.(1 point)
Responses
r4p8
the fraction with numerator r to the 4th power and denominator p to the 8th power
1r4p8
the fraction with numerator 1 and denominator r to the 4th power p to the 8th power
−r4−p8
negative r to the 4th power minus p to the 8th power
1r4+1p8
.(1 point)
Responses
r4p8
the fraction with numerator r to the 4th power and denominator p to the 8th power
1r4p8
the fraction with numerator 1 and denominator r to the 4th power p to the 8th power
−r4−p8
negative r to the 4th power minus p to the 8th power
1r4+1p8
Answers
GPT-4o mini
To simplify the expression \( r^{-4} p^{-8} \), we can make use of the properties of exponents. The expression can be rewritten as:
\[
\frac{1}{r^4} \cdot \frac{1}{p^8} = \frac{1}{r^4 p^8}
\]
Thus, the correct response is:
**1** \( r^4 p^8 \)
This means the simplified form is the fraction with numerator 1 and denominator \( r^4 p^8 \).
\[
\frac{1}{r^4} \cdot \frac{1}{p^8} = \frac{1}{r^4 p^8}
\]
Thus, the correct response is:
**1** \( r^4 p^8 \)
This means the simplified form is the fraction with numerator 1 and denominator \( r^4 p^8 \).