Calculate 8 ∙ 10-4 divided by 2 ∙ 102. (box after the "10" in answer is for the ∙ 10

Given problem: .

Solution: We can see that first we have 8 and 2 numbers in front of 10's powers.

So, we need to simplify 8 over 2 first.

If we divide 8 by 2, we get 4.

Now, let us work on 10's and their powers.

is being divided by

We can apply quotient rule of exponents remaining part.

According to quotient rule of exponents,

If we apply same rule, we need to subtract exponents of 10's.

If we simplify exponent part -4-(-2), it will give us -4+2 =-2.

So,

And final answer would be .

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