Manhattan Number Properties page 68 ?

[hispano_phd]

Hi:

While studying, I have this doubt regarding example for (page 68) a^x . b^x rule. The rule states the base product is determined and exponential remain same. But I don't get the example 12^5 = 2^10 . 3^5; for me should be something like
12^5 = 6^5 . 2^5...

If anyone could clarify this for me I will appreciate it.

[cliq]

12⁵ = 2¹⁰ x 3⁵

12⁵ = (2²)⁵ x 3⁵

12⁵ = 4⁵ x 3⁵

12⁵ = ( 4 x 3 ) ⁵ ..same exponents ..multiply base

I hope that helps

[hispano_phd]

Hi:

Thank you!