Sure! Here are the steps to simplify the expression a^4 divided by a^-2 multiplied by a^7:
Start by dividing a^4 by a^-2:
a^4 / a^-2
Use the rule that division by a^-b is the same as multiplication by a^b:
a^4 * a^2
Multiply the result by a^7:
a^4 * a^2 * a^7
Use the rule that raising a power to a power results in multiplication of the exponents:
a^(4 + 2 + 7) = a^13
Simplify the result by adding the exponents:
a^13
So, the final answer is a^13