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

Question

2
not 252525 )

7^11/7^-4

Answer 1

To simplify \( \frac{7^{11}}{7^{-4}} \), we can use the property of exponents that states:

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

Here, \( a = 7 \), \( m = 11 \), and \( n = -4 \).

Now, we can apply the property:

\[ \frac{7^{11}}{7^{-4}} = 7^{11 - (-4)} = 7^{11 + 4} = 7^{15} \]

Thus, the simplified form is:

\[ \boxed{7^{15}} \]