Identify the simplified form of the expression%C2%A0 r−4p−8 .(1 point) Responses 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 the fraction with numerator 1 and denominator r to the 4th power plus the fraction with numerator 1 and denominator p to the 8th power r4p8 the fraction with numerator r to the 4th power and denominator p to the 8th power

Answer 1

To simplify the expression \( r^{-4} p^{-8} \), we can apply the property of negative exponents, which states that \( a^{-n} = \frac{1}{a^n} \).

1. Rewrite the expression: \[ r^{-4} p^{-8} = \frac{1}{r^4} \cdot \frac{1}{p^8} \]

2. Combine the fractions: \[ = \frac{1}{r^4 p^8} \]

So, the simplified form of the expression \( r^{-4} p^{-8} \) is \( \frac{1}{r^4 p^8} \).

Based on the provided responses, the correct answer is:

1. \( \frac{1}{r^4 p^8} \) (the fraction with numerator 1 and denominator \( r \) to the 4th power \( p \) to the 8th power).