Guided Practice: Exponents and Simplification

Flashcards covering vocabulary and concepts related to rewriting expressions with exponents.

Positive Exponents

Exponents that are greater than or equal to zero, representing repeated multiplication of the base.

Simplification

The process of reducing an expression to its simplest form.

Rewrite the expression using positive exponents

Transform expressions that contain negative exponents to expressions with only positive exponents.

Expression Evaluation

Calculating the value of an expression for specific values of the variables.

Term

A single mathematical expression which can be a number, a variable, or a combination of both, separated by addition or subtraction.

Evaluate the expression

To compute the numerical value of an expression.

Simplifying fractions with exponents

Reducing fractions that contain variables raised to powers, ensuring that the exponents are positive.

Negative Exponent Rule

A negative exponent represents the reciprocal of the base raised to the absolute value of the exponent, i.e., a^{-n} = rac{1}{a^{n}}.

Base

The number or variable in an exponentiation that is raised to a power.

Combining like terms

The process of adding or subtracting terms that contain the same variables raised to the same power.