which is the simplified form of $n^{-6}p^{3}$?\n$\frac{n^{6}}{p^{3}}$\n$\frac{1}{n^{6}p^{3}}$\n$\frac{p^{3}}{…

which is the simplified form of $n^{-6}p^{3}$?\n$\frac{n^{6}}{p^{3}}$\n$\frac{1}{n^{6}p^{3}}$\n$\frac{p^{3}}{n^{6}}$\n$n^{6}p^{3}$

which is the simplified form of $n^{-6}p^{3}$?\n$\frac{n^{6}}{p^{3}}$\n$\frac{1}{n^{6}p^{3}}$\n$\frac{p^{3}}{n^{6}}$\n$n^{6}p^{3}$

Answer

Answer:

C. (\frac{p^{3}}{n^{6}})

Explanation:

Step1: Use the negative exponent rule

The rule for negative exponents is (a^{-m}=\frac{1}{a^{m}}) (where (a\neq0) and (m) is a positive integer). For the term (n^{-6}), we can rewrite it as (\frac{1}{n^{6}}) using the formula (a = n) and (m = 6). So, (n^{-6}p^{3}=\frac{1}{n^{6}}\times p^{3}).

Step2: Simplify the expression

When we multiply (\frac{1}{n^{6}}) by (p^{3}), we get (\frac{p^{3}}{n^{6}}) according to the rule of multiplying fractions (\frac{a}{b}\times c=\frac{ac}{b}) (here (a = 1), (b=n^{6}), (c = p^{3})).