Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent nonzero real numbers. See Examples 5 and 6. 4^8/4^6

Exponent rules are mathematical guidelines that dictate how to handle expressions involving powers. One key rule is that when dividing two expressions with the same base, you subtract the exponents: a^m / a^n = a^(m-n). This rule is essential for simplifying expressions like 4^8/4^6.

Negative exponents indicate the reciprocal of the base raised to the opposite positive exponent. For example, a^(-n) = 1/a^n. In the context of this problem, simplifying without negative exponents means expressing the final answer in a form that does not include any negative powers.

Simplification involves rewriting an expression in a more concise or manageable form. This process often includes combining like terms, reducing fractions, and applying exponent rules. In this case, simplifying 4^8/4^6 leads to a clearer expression that adheres to the problem's requirements.