Simplify the expression using the quotient rule of exponents. 5 to the 6th power over 5 to the 3rd power

The quotient rule of exponents states that when you divide two numbers with the same base, you subtract the exponents.

Therefore, 5 to the 6th power over 5 to the 3rd power can be simplified as follows:
\[5^6/5^3 = 5^{6-3}\]

Simplifying further, we have:
\[5^{6-3} = 5^3\]

Therefore, 5 to the 6th power over 5 to the 3rd power is equal to 5 to the 3rd power.