Simplify the following and leave your answer in exponential form. (Example: write 525^25

Question

2
not 252525 ).

x10x−6\frac{x^{10}}{x^{-6}}
x
−6

x
10

​

Answer 1

To simplify \(\frac{x^{10}}{x^{-6}}\), you can use the properties of exponents, specifically the rule that states:

\[ \frac{a^m}{a^n} = a^{m-n} \]

Applying this rule, we have:

\[ \frac{x^{10}}{x^{-6}} = x^{10 - (-6)} = x^{10 + 6} = x^{16} \]

Thus, the simplified form is:

\[ \boxed{x^{16}} \]