Hi!
Lets go through this together.
Using the operation, PEMDAS, we start from left, then go to right.
since there are two pairs of parenthesis, we start with the one on the left.
(6x10^2)
so now, we do the exponent, 10^2
10x10= 100
So our answer for this part is 100.
Now we have (6x100)
6x100=600
So now, the equation is 600÷(3x10^-3)
Now, we do the parenthesis on the right.
(3x10^-3)
First, we do the exponent, 10^-3
10x-10x-10= 1,000
so now, the equation is (3x1,000)
Now, we multiply.
3x1,000=3,000
So now, the equation is 600 ÷ 3,000
600 ÷ 3,000 = 0.2
So, your answer is 0.2.
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(6 x 10^2) ÷ (3 x 10^-3)
=(6 x 100) ÷ (3 x 10^-3)
= 600 ÷ (3 x 10^-3)
= 600 ÷ (3 x 1,000)
= 600 ÷ 3,000
= 0.2
(also, the scientific notation is 2x10^2)
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Hope this helps!
Let me know if you need anymore help!
Yours truly,
~~~PicklePoppers~~~