Math Snap

STEP 1

Assumptions1. We are performing a division operation. The numbers are in scientific notation3. The base of the exponent is10

STEP 2

First, we separate the division operation into two parts the division of the coefficients (the numbers before the exponent) and the division of the exponents.
$$\frac{4.4 \times10^{-7}}{2 \times10^{-}} = \frac{4.4}{2} \times \frac{10^{-7}}{10^{-}}$$

STEP 3

Perform the division of the coefficients.
$$\frac{.}{2} =2.2$$

STEP 4

For the exponents, recall that when you divide with the same base, you subtract the exponents.$$\frac{10^{-7}}{10^{-3}} =10^{-7 - (-3)} =10^{-7 +3}$$

STEP 5

Perform the operation in the exponent.
$$10^{-7 +3} =10^{-4}$$

STEP 6

Now, multiply the results from the coefficient division and the exponent division.
$$2.2 \times10^{-4}$$So, the result of the operation is $2.2 \times10^{-4}$.

To express the answer in decimal notation, we move the decimal point4 places to the left, as indicated by the exponent of -4.
$$2.2 \times10^{-4} =0.00022$$The result of the operation in decimal notation is0.00022.