Divide 3.2 x 10^4 and 2.56 x 10^-2 in scientific notation

1 answer

To divide the numbers in scientific notation, we need to divide the coefficients and subtract the exponents.

Dividing 3.2 x 10^4 by 2.56 x 10^-2 can be written as:

(3.2 / 2.56) x (10^4 / 10^-2)

Simplifying the division of the coefficients: 3.2 / 2.56 = 1.25

Simplifying the division of the exponents: 10^4 / 10^-2 = 10^(4 + 2) = 10^6

Putting it all together, the result is 1.25 x 10^6 in scientific notation.