2.56 x 10^-2 x 3.2 x 10^4 show your work

Answer 1

To multiply two numbers written in scientific notation, we multiply the two coefficients together and add the exponents.

In this case:
2.56 x 10^-2 x 3.2 x 10^4 = (2.56 x 3.2) x (10^-2 x 10^4)

First, let's multiply the coefficients:
2.56 x 3.2 = 8.192

Next, add the exponents of 10:
10^-2 x 10^4 = 10^(-2+4) = 10^2 = 100

Finally, combine the coefficient and the exponent:
8.192 x 100 = 819.2

Therefore, 2.56 x 10^-2 x 3.2 x 10^4 = 819.2.