Exponent Laws Exponent Rules Task Cards

Simplify exponential expressions using the product law (e.g., x⁷ · x⁻⁶) and quotient law (e.g., x⁹/x⁵).

Simplify expressions using the power-to-a-power rule (e.g., (x⁴)¹²) and the zero-exponent rule (e.g., x⁰ = 1 for nonzero x).

Rewrite expressions with negative exponents (e.g., x⁻¹⁰ · x⁹⁰) using only positive exponents.

Use the cards as a warm-up rotation (scoot-style, one card per desk) for quick daily review once all five exponent laws have been introduced.

Have students justify their answer verbally to a partner before recording it, since the cards ask for mental simplification rather than showing written work.

Sort the 36 cards by law in advance if you want to isolate practice on just one rule (for example, only the negative-exponent cards) rather than using the full mixed set.

Applying the product and quotient laws of exponents to numeric and variable bases.

Applying the power-to-a-power and zero-exponent rules to simplify expressions.

Rewriting negative-exponent expressions using positive exponents only.