7 Find the quotient. Write your answer using exponents.

To find the quotient of two exponential expressions, use the exponent rules, specifically \( \frac{a^m}{a^n} = a^{m-n} \). For example, if you have \( \frac{x^7}{x^3} \), subtract the exponents: \( 7 - 3 = 4 \). Thus, the quotient is \( x^4 \). This rule works universally for any base, as long as the base is the same. Want to simplify a bit further? Ensure your bases are the same and always reduce the exponents to their simplest form. It’s a common mistake to forget to subtract the exponents correctly or to mix up the bases. Remember, \( \frac{a^m}{b^m} \neq a^{m-n} \); the bases must be identical for this to apply!