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Creating like-Bases

This exploration delves into the mathematical rules governing operations with like bases and roots. We discuss the principles of multiplication and division when the bases are matching, and explore what occurs when they are not. The text emphasizes substituting values in expressions to achieve like bases, simplifying the process, and provides intriguing examples involving cube roots. Moreover, it addresses the intricacies of rewriting expressions in radical form, enabling seamless division. Join us in unlocking the potential of algebraic simplifications and divisions.

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Creating like-Bases

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Presentation Transcript

  1. If we multiply like bases, if we divide like bases…. Creating like-Bases IF, IF, IF……….

  2. What happens when we DON’T have like bases? We know that…………

  3. Couldn’t we replace/substitute this info into our original expression? Now we have like bases and we could simplify….

  4. Try………..

  5. But what about…. There’s no way that 4 and 5 can be turned into like bases….. BUT……

  6. They are BOTH cube rooted… And if we have like roots we can multiply/divide what’s inside.

  7. BUT this can simplify…..maybe.Is there a cube of something that divides evenly into 80? Try……… 13 23 33 43

  8. Try……… 14 24 34 44 Try………….

  9. Try……… -15 -25 -35 -45 Try………….

  10. We can rewrite it as… Radical Form… We can NOW divide 64 by 2..

  11. We can rewrite it as… Try…. We can NOW divide 64 by 2..

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