Exponents
Powers with integer, decimal and fractional bases; multiplication, division and power rules with positive exponents; negative exponents (a⁻ⁿ = 1/aⁿ); all exponent laws with integer exponents; evaluate and identify equivalent exponential expressions.
14 worksheetsRead the explainer →
- 1Powers with Integer BasesEvaluate powers with positive and negative integer bases; interpret exponential notation.adaptive
- 2Powers with Decimal and Fractional BasesEvaluate powers with decimal and fractional bases; negative fractional bases.adaptive
- 3Multiply with Positive ExponentsApply product rule a^m x a^n = a^(m+n) with positive integer exponents; simplify products.adaptive
- 4Divide with Positive ExponentsApply quotient rule a^m / a^n = a^(m-n) with positive integer exponents; simplify quotients.adaptive
- 5Multiply and Divide with Positive ExponentsApply product and quotient rules together with positive exponents; mixed simplification.adaptive
- 6Power Rule with Positive ExponentsApply power rule (a^m)^n = a^(mn); raise products and quotients to a power.adaptive
- 7Negative ExponentsConvert negative exponents using a^(-n) = 1/a^n; evaluate expressions with negative exponents; write without negative exponents.adaptive
- 8Multiply with Integer ExponentsApply product rule with positive and negative integer exponents; simplify using index laws.adaptive
- 9Divide with Integer ExponentsApply quotient rule with positive and negative integer exponents; results may be negative exponents.adaptive
- 10Multiply and Divide with Integer ExponentsApply all index laws with positive and negative exponents; multi-step simplification.adaptive
- 11Power Rule with Integer ExponentsApply power rule with negative exponents; raise negative-exponent expressions to a power.adaptive
- 12Evaluate Expressions Using Exponent PropertiesEvaluate numerical and variable expressions using all exponent laws; multi-step evaluation.adaptive
- 13Identify Equivalent Exponential ExpressionsIdentify which expressions are equivalent using index laws; match equivalent forms.adaptive
- 14Evaluate Expressions Using Exponent Properties — Extra PracticeEvaluate numerical and variable expressions using all exponent laws; multi-step evaluation.adaptive