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

Key Concepts

Exponent Rules

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

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 of Expressions

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.