Exponent Rules Flashcards

Vocabulary flashcards covering algebraic exponent rules, formulas, and examples from the lecture image.

Power of a Product

An algebraic exponent rule stated as $a^x \cdot a^y = a^{x+y}$, with example $x^8 \cdot x^2 = x^{10}$.

Power of a Power

An algebraic exponent rule stated as $(a^x)^y = a^{xy}$, with example $(x^8)^2 = x^{16}$.

Quotient of Powers

An algebraic exponent rule stated as $\frac{a^x}{a^y} = a^{x-y}$, with example $\frac{x^8}{x^2} = x^6$.

Negative Exponent

An algebraic exponent rule stated as $a^{-x} = \frac{1}{a^x}$, with example $x^{-8} = \frac{1}{x^8}$.

Zero Power

An algebraic exponent rule stated as $a^0 = 1$, with example $8^0 = 1$.

Rational Exponents

An algebraic exponent rule stated as $a^{\frac{x}{y}} = \sqrt[y]{a^x}$, with example $8^{\frac{1}{2}} = \sqrt{8}$.

Exponent Rules Reference Chart

A reference table created by Maneuvering the Middle outlining algebraic exponent laws and corresponding examples.