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Home > A2C > Chapter 13 > Lesson 13.1.2 > Problem 13-36

13-36.

Josephina thinks that she has discovered a new pattern, shown at right. Homework Help ✎  

  1. Check her equations by multiplying. Does her pattern work?

    To check a division problem using multiplication, multiply the divisor by the quotient. In the second case, multiply . Does it equal How will you check the third and fourth cases?

  2. Based on her pattern, what does equal? Is it true? Justify your answer.

    Look for a pattern in the quotients. Look at the number of terms and the exponent each term.

  3. Make a conjecture about how to represent the result for . You will need “…” in the middle of your expression.