PRE-ALGEBRA, 2012
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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