dentify the simplified form of the expression r−4p−8

Question

.(1 point)
Responses

1r4p8
the fraction with numerator 1 and denominator r to the 4th power 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

−r4−p8

Answer 1

To simplify the expression \( r^{-4}p^{-8} \), we can rewrite it using positive exponents:

\[ r^{-4} = \frac{1}{r^4} \] \[ p^{-8} = \frac{1}{p^8} \]

Thus, the expression can be rewritten as:

\[ r^{-4}p^{-8} = \frac{1}{r^4} \cdot \frac{1}{p^8} = \frac{1}{r^4 p^8} \]

So the simplified form of the expression is:

the fraction with numerator 1 and denominator \( r^4 p^8 \).