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

Question

.(1 point)
Responses

−r7−p12
negative r to the 7th power minus p to the 12th power

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

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

Answer 1

The expression \( r^{-7} + p^{-12} \) can be rewritten using positive exponents.

Using the property of negative exponents, we can express it as:

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

Thus, the original expression becomes:

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

Among the choices provided, the correct response that represents this expression is:

1/r^7 + 1/p^12

So, the answer is: 1/r7 + 1/p12