### Home > CCA2 > Chapter 12 > Lesson 12.1.2 > Problem 12-34

12-34.

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

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?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.

Make a conjecture about how to represent the result for

. You will need “…” in the middle of your expression.