Math 6 Honors ( Periods 1, 2, & 3)

We add the following bit of notes today:
looking at the powers of 10 we noticed that
10² ⋅ 10³ = 10⁵
and
10⁸ ⋅10⁶ =10¹⁴
so could we write a rule for any exponent values a and b?
YES, we decided:
10^a ⋅10^b = 10^a+b


Remember how we proved that any number to he zero power was equal to 1
or a⁰ = 1

Refer back to your notes or to the blog a few days ago...
we also showed how
What happens when you multiply the same bases?
3⁴ ⋅ 3² = 3⋅3⋅3⋅3⋅3⋅3
or 3⁴⁺² = 3 ⁶
We just add the exponents if the bases are the same!!
When we divide by the same base we just subtract

3⁴ /3² = 3^4-2 =3²

What would happen if we had
3² / 3⁴ ?
Let's look at what we would actually have
3⋅3
3⋅3⋅3⋅3

Which would be
1
3²

or 1/3²

but you can write that as 3^-2
We just subtract-- using the same rule.


Now let's get back to our decimal lesson and apply that to decimals -- and the Powers of TEN