Question

Which is the simplified form of r Superscript negative 7 Baseline + s Superscript negative 12?

Answer 1

Answer:

$\frac{1}{ {r}^{7} } + \frac{1}{ {s}^{12} }$

Step-by-step explanation:

We want to simplify:

${r}^{ - 7} + {s}^{ - 12}$

Let us rewrite as positive index to get:

${r}^{ - 7} + {s}^{ - 12} = \frac{1}{ {r}^{7} } + \frac{1}{ {s}^{12} }$

We now find LCM to get:

${r}^{ - 7} + {s}^{ - 12} = \frac{ {r}^{7} + {s}^{12} }{ {r}^{7} {s}^{12} }$

Therefore the simplified form of the given expresion is:

$\frac{ {r}^{7} + {s}^{12} }{ {r}^{7} {s}^{12} }$

But from the provide option, they only want us to rewrite as positive index without simplifying further

Answer 2

Answer:

StartFraction 1 Over r Superscript 7 Baseline EndFraction + StartFraction 1 Over s Superscript 12 EndFraction

Step-by-step explanation: