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IM 8.7.6 Lesson: What about Other Bases?

Author:GeoGebra Classroom Activities, IM 6 – 8 Math

Is each statement true or false?

Select all that apply
  • A
  • B
Check my answer (3)

Explain your reasoning.

Select all that apply
  • A
  • B
Check my answer (3)

Explain your reasoning.

Select all that apply
  • A
  • B
Check my answer (3)

Explain your reasoning.

Select all that apply
  • A
  • B
Check my answer (3)

Explain your reasoning.

Complete the table to show what it means to have an exponent of zero or a negative exponent.

What patterns do you notice when you start with a fraction raised to a negative exponent and rewrite it using a single positive exponent? Show or explain your reasoning.

Lin, Noah, Diego, and Elena decide to test each other’s knowledge of exponents with bases other than 10. They each chose an expression to start with and then came up with a new list of expressions; some of which are equivalent to the original and some of which are not. Choose the equivalent expressions. Lin’s original expression is  and her list is:

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
Check my answer (3)

Noah’s original expression is  and his list is:

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
  • G
Check my answer (3)

Diego’s original expression is  and his list is:

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
  • G
Check my answer (3)

Elena’s original expression is  and her list is:

Select all that apply
  • A
  • B
  • C
  • D
  • E
  • F
Check my answer (3)

Choose 2 of the 4 lists to analyze. For each list of expressions you choose to analyze, explain your reasoning.

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