Write down the expression that gives the products of 9 numbers which have the following properties:
- The GCD/HCF of each pair of numbers in that group is a
- The LCM of the 9 numbers is b


Answer:

a8 × b

Step by Step Explanation:
  1. The property that relates the HCF and LCM of two numbers to their product is:
    GCD × LCM = First number × Second number
  2. Now we have 9 numbers, and the GCD of each pair of numbers is different.
    This means their product will be = Product of GCD of each pair × LCM
    = a × a × a × a × a × a × a × a × b
    = a8 × b

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