how do you solve the equation 5 to 2nd power divided by 5 to the 5th power
An exponential term has the form a^{x}, where a is a number called the base and x is the exponent.
The rule is that if you multiply two terms together that have the same base (a), you just add the exponents. For example:
a^{2}*a^{5} = a^{2+5} = a^{7}
Another rule is that 1/a^{x} = a^{-x}
Your problem is:
5^{2}/5^{5} = 5^{2}*5^{-5} = ?
Can you apply the rule for adding exponents and complete the problem?