Here are the essential concepts you must grasp in order to answer the question correctly.
Exponential Rules
Exponential rules are fundamental properties that govern the manipulation of expressions involving exponents. One key rule is that when dividing two exponential expressions with the same base, you subtract the exponents: a^m / a^n = a^(m-n). This rule simplifies calculations and is essential for solving problems involving exponential expressions.
Recommended video:
Cramer's Rule - 2 Equations with 2 Unknowns
Base of an Exponent
The base of an exponent is the number that is raised to a power. In the expression x^14/x^7, 'x' is the base. Understanding the base is crucial because it remains constant during operations involving exponents, allowing for simplification through the application of exponential rules.
Recommended video:
Introduction to Exponent Rules
Simplification of Expressions
Simplification of expressions involves reducing an expression to its simplest form, making it easier to understand and work with. In the context of exponents, this often means applying the rules of exponents to combine or reduce terms, such as turning x^14/x^7 into x^(14-7) = x^7, which is a more manageable expression.
Recommended video:
Introduction to Algebraic Expressions