Answer:
[tex] \frac{1}{ {r}^{7} } + \frac{1}{ {s}^{12} } [/tex]
Step-by-step explanation:
We want to simplify:
[tex] {r}^{ - 7} + {s}^{ - 12} [/tex]
Let us rewrite as positive index to get:
[tex]{r}^{ - 7} + {s}^{ - 12} = \frac{1}{ {r}^{7} } + \frac{1}{ {s}^{12} } [/tex]
We now find LCM to get:
[tex]{r}^{ - 7} + {s}^{ - 12} = \frac{ {r}^{7} + {s}^{12} }{ {r}^{7} {s}^{12} } [/tex]
Therefore the simplified form of the given expresion is:
[tex] \frac{ {r}^{7} + {s}^{12} }{ {r}^{7} {s}^{12} } [/tex]
But from the provide option, they only want us to rewrite as positive index without simplifying further
Answer:
StartFraction 1 Over r Superscript 7 Baseline EndFraction + StartFraction 1 Over s Superscript 12 EndFraction
Step-by-step explanation:
