Simplify each expression. Write answers without negative exponents. Assume all vari-ables represent nonzero real numbers. See Examples 5 and 6. (p^-2)^0/5p^-4

Key Concepts

Exponent Rules

Exponent rules are fundamental principles that govern how to manipulate expressions involving powers. Key rules include the product of powers, quotient of powers, and power of a power. For instance, any nonzero number raised to the power of zero equals one, which is crucial for simplifying expressions like (p^-2)^0.

Negative Exponents

Negative exponents indicate the reciprocal of the base raised to the opposite positive exponent. For example, p^-n can be rewritten as 1/p^n. Understanding how to convert negative exponents into positive ones is essential for simplifying expressions and ensuring the final answer adheres to the requirement of not having negative exponents.

Simplifying Rational Expressions

Simplifying rational expressions involves reducing fractions to their simplest form by canceling common factors in the numerator and denominator. This process often requires applying exponent rules and understanding how to handle variables and constants. In the given expression, simplifying will help clarify the relationship between the terms and ensure the expression is presented correctly.