Here are the essential concepts you must grasp in order to answer the question correctly.
Properties of Exponents
The properties of exponents are rules that govern how to manipulate expressions involving powers. Key rules include the product of powers rule, which states that when multiplying like bases, you add their exponents. For example, a^m * a^n = a^(m+n). Understanding these properties is essential for simplifying expressions with exponents.
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Simplifying Expressions
Simplifying expressions involves reducing them to their most basic form while maintaining equivalence. This process often includes combining like terms, applying the properties of exponents, and eliminating unnecessary parentheses. Mastery of simplification techniques is crucial for solving algebraic problems efficiently.
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Like Bases
Like bases refer to terms that have the same base in exponential expressions. When simplifying expressions with like bases, you can apply the properties of exponents effectively. For instance, in the expression (n^6)(n^4)(n), all terms share the base 'n', allowing you to combine them by adding their exponents.
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