(0.4*10-6)(0.7*10^-2)
= 0.28 x 10^-8
= 2.8 x 10^-9
not assuming unwritten exponentiation
(4 - 6) (0.007) = -0.014
To multiply two numbers written in scientific notation, you can multiply the two coefficients (the numbers in front of the powers of ten) and add the exponents of ten together.
In this case, we have:
(0.4 * 10^-6) * (0.7 * 10^-2)
First, let's multiply the two coefficients:
0.4 * 0.7 = 0.28
Next, let's add the exponents of ten together:
10^-6 * 10^-2 = 10^(-6 - 2) = 10^-8
Now, we have 0.28 as the coefficient and 10^-8 as the exponent of ten. So, the result is:
0.28 * 10^-8
This number can also be written in scientific notation as:
2.8 * 10^-9
Therefore, the result of (0.4 * 10^-6) * (0.7 * 10^-2) is 2.8 * 10^-9.