Question

Simplify by writing each expression using only positive exponents.
StartFraction n Superscript negative 3 Over n Superscript negative 6 EndFraction
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Part 1
StartFraction n Superscript negative 3 Over n Superscript negative 6 EndFraction
equals
  
enter your response here ​(Use positive exponents​ only.)

Answer 1

To simplify the expression \(\frac{n^{-3}}{n^{-6}}\), we can use the property of exponents that states \(\frac{a^m}{a^n} = a^{m-n}\).

So, we have:

\[
\frac{n^{-3}}{n^{-6}} = n^{-3 - (-6)} = n^{-3 + 6} = n^{3}
\]

Thus, the expression simplifies to:

\[
n^3
\]

Therefore, using only positive exponents, we have:

\[
\frac{n^{-3}}{n^{-6}} = n^3
\]