What is x to the 7th power divided by x to the 6th power?

x^7/x^6 = x

To solve this problem, you need to understand the properties of exponents. When you divide terms with the same base, you subtract the exponent of the denominator from the exponent of the numerator.

In this case, you have x to the 7th power divided by x to the 6th power. Since the base is the same (x), subtract the exponent of the denominator (6) from the exponent of the numerator (7).

7 - 6 = 1

So, x to the 7th power divided by x to the 6th power simplifies to x to the 1st power or simply x.