SOLUTION: i need help on scientific notation! if i have a problem like this: (5 x 10 to the 5th) to the negative 2nd ......how do i solve it?

Algebra ->  Exponents -> SOLUTION: i need help on scientific notation! if i have a problem like this: (5 x 10 to the 5th) to the negative 2nd ......how do i solve it?      Log On


   



Question 586023: i need help on scientific notation! if i have a problem like this: (5 x 10 to the 5th) to the negative 2nd ......how do i solve it?
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
i need help on scientific notation! if i have a problem like this: (5 x 10 to the 5th) to the negative 2nd ......how do i solve it?
--------------
You don't solve it. Equations are solved, this is not an equation.
------------------
(5 x 10 to the 5th) to the negative 2nd
%285%2A10%5E5%29%5E-2
= 1%2F%285%2A10%5E5%29%5E2
= = 1%2F%2825%2A10%5E10%29
= %281%2F25%29%2A%281%2F10%5E10%29
= 0.04%2A10%5E-10
= 4%2A10%5E-12
Or 4E-12
------
PS Use the asterisk * for multiply.
x is used for other things.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Is this the problem:
++5%2A10%5E5+%29%5E%28-2%29+
Rewrite this as:
+5%5E%28-2%29+%2A+10%5E%28+5%2A%28-2%29%29+
----------------------
You can do this because of general rules:
(1) +%28a%2Ab%2Ac%29%5Ed+=+a%5Ed%2Ab%5Ed%2Ac%5Ed+
(2) +%28a%5Eb%29%5Ec+=+a%5E%28b%2Ac%29+
----------------------
+5%5E%28-2%29+=+1%2F5%5E2+
+1%2F25+=+4%2F100+
+4%2F100+=+.04+
and
+10%5E%28+5%2A%28-2%29%29+=+10%5E%28-10%29+
so far, I have:
+.04%2A10%5E%28-10%29+
+.04+=+4%2A10%5E%28-2%29+
Now I have:
+4%2A10%5E%28-2%29%2A10%5E%28-10%29+
+4%2A10%5E%28-12%29+ answer