Identify the simplified form of the expression r−7+p−12

Question

.(1 point)
Responses

1r7+1p12
the fraction with numerator 1 and denominator r to the 7th power plus the fraction with numerator 1 and denominator p to the 12th power

r7p12
the fraction with numerator r to the 7th power and denominator p to the 12th power

1r7p12
the fraction with numerator 1 and denominator r to the 7th power p to the 12th power

−r7−p12

Answer 1

To simplify the expression \( r^{-7} + p^{-12} \), we first rewrite it in terms of positive exponents:

\[ r^{-7} = \frac{1}{r^7} \quad \text{and} \quad p^{-12} = \frac{1}{p^{12}} \]

Thus, the expression becomes:

\[ \frac{1}{r^7} + \frac{1}{p^{12}} \]

Now, looking at the response choices, the simplified form is:

• the fraction with numerator 1 and denominator r to the 7th power plus the fraction with numerator 1 and denominator p to the 12th power.

This corresponds to the converted form of the original expression.