Divide. Write your answer in scientific notation. 4 x 10^-4 8 x 10^-5

To divide the two numbers in scientific notation, you will divide the coefficients and subtract the exponents.

1. Coefficients: Divide 4 by 8:

[

frac{4}{8} = 0.5

]

2. Exponents: Subtract the exponents:

[

-4 – (-5) = -4 + 5 = 1

]

Now, combine the results:

[
0.5 times 10^1

]

To express 0.5 in scientific notation, rewrite it as:

[
5.0 times 10^{-1}

]

Now combine:

[
5.0 times 10^{-1} times 10^1 = 5.0 times 10^{0}

]

Since (10^0 = 1), the final result is:

[
5.0

]

So, the answer in scientific notation is:

[
5.0 times 10^0

]