ten divivded by ten to the negative 2

Question

this is some algebra that i dont know

Answer 1

Hi Sandricka;

10/10^-2

This can also be written as...

10¹/10^-2

We are going to take the exponentials and subtract these.  We are subtracting because we are dividing these...

1--2

Subtracting a negative number is the same as adding a positive number...

1+2

3

10³

 

There is another technique to approaching this...

10/10^-2

Let's separate these...

(10/1)(1/10^-2)

1/10^-2 is also 10²...

(10)(10²)

(10¹)(10²)

Let's add exponentials.  We are adding these because we are multiplying these...

1+2=3

10³