The problem asks to simplify the expression $0.000215 \times 0.000028$ and express the answer in standard form.

1. Problem Description

The problem asks to simplify the expression $0.000215 \times 0.000028$ and express the answer in standard form.

2. Solution Steps

First, multiply the two decimal numbers:

$0.000215 \times 0.000028$

We can rewrite these numbers in scientific notation:

$0.000215 = 2.15 \times 10^{-4}$

$0.000028 = 2.8 \times 10^{-5}$

Now, we multiply the numbers:

$(2.15 \times 10^{-4}) \times (2.8 \times 10^{-5}) = (2.15 \times 2.8) \times (10^{-4} \times 10^{-5})$

Multiply the numbers:

$2.15 \times 2.8 = 6.02$

Multiply the powers of 10:

$10^{-4} \times 10^{-5} = 10^{-4 + (-5)} = 10^{-9}$

Combine the results:

$6.02 \times 10^{-9}$

3. Final Answer

The simplified expression in standard form is $6.02 \times 10^{-9}$.