Evaluating Exponents with Positive & Negative Bases Worksheet | Math Key

Premium 2-page math worksheet on evaluating indices with positive and negative bases. Features 24 questions contrasting odd and even powers with a full key!

Develop your students’ foundational calculation precision and index law fluency with this structured Indices with Positive and Negative Bases Worksheet Pack! Aligned seamlessly for Key Stage 3 Mathematics mastery and GCSE preparation, this resource eliminates predictable repetition and forces students to recognize core structural arithmetic patterns.

Resource Structure & Topic Coverage:
• 24 Index Calculations: 24 horizontal questions evaluating positive integer powers applied interchangeably to positive and negative bracketed bases.
• Structural Sign Comparison Hurdles: Direct question pairings explicitly train students to contrast identical indices across changing base values (such as identifying why 5² and (-5)² both equal 25, while comparing 5³ against (-5)³) .
• Odd vs. Even Index Verification: Reinforces the rule that even powers applied to negative parameters resolve as a positive whole number, whereas odd powers retain their negative properties.
• Powers of Base One and Ten: Built-in diagnostic tasks utilizing bases of 1, -1, and -10 to evaluate boundary rules and trailing zero placeholder accuracy across higher indices (such as (-10)⁶ and (-10)⁷).
• Worked Solutions: A complete matching layout answer document is provided for painless marking, independent checking, or minimal-prep cover lesson schedules.

Curriculum Alignment:
• Apply integer powers fluently to positive and bracketed negative bases
• Discriminate conceptually between odd and even index rules for directed numbers
• Key Stage 3 Mathematics Mastery and Year 8/9 algebra tracking