In Exercises 25–34, use the zero-exponent rule to simplify each expression. 6⁰

Verified step by step guidance

1. Identify the zero-exponent rule, which states that any non-zero number raised to the power of zero is equal to 1.
2. Recognize that the base in the expression is 6, which is a non-zero number.
3. Apply the zero-exponent rule to the expression 6^0.
4. Simplify the expression using the rule: 6^0 = 1.
5. Conclude that the simplified form of the expression is 1.

Key Concepts

Zero Exponent Rule

The zero exponent rule states that any non-zero base raised to the power of zero equals one. This rule is fundamental in algebra as it simplifies expressions and helps in solving equations. For example, 6⁰ simplifies to 1, regardless of the base, as long as the base is not zero.

Exponential Notation

Exponential notation is a way to express repeated multiplication of a number by itself. It consists of a base and an exponent, where the exponent indicates how many times the base is multiplied. Understanding this notation is crucial for applying rules like the zero exponent rule effectively.

Properties of Exponents

Properties of exponents are a set of rules that govern how to manipulate expressions involving exponents. These include rules for multiplication, division, and powers of powers. Familiarity with these properties allows for the simplification of complex expressions and is essential for solving algebraic problems.