Step-by-step Answer
PAGE: 498SET: ExercisesPROBLEM: 37
Please look in your text book for this problem Statement

First group the coefficients and variables.

ab5 ·  8a2b5 = (1 · 8) (a · a2) (b5 · b5)

8 (a · a2) (b5 · b5)           (Multiply: 1 · 8 = 8)

Since base is common, apply the product of powers property: am · an = am + n.

8 (a1 + 2) (b5 + 5)   

8a3b10                      (Add exponents: 1 + 2 = 3 and 5 + 5 = 10)

 Product of  ab5 ·  8a2b5 is 8a3b10.


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