Answer:
42 digits right of the decimal point.
Explanation:
Trailing zeroes are those which we get in decimal representation and after that there comes no digit.
We have been given the expression:
![0.4^(24)\cdot 0.375^(22)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/h8p2xmpzpuz3tzo4n905rv1us7n3n9a7ua.png)
We will simplify it to get the result that is the right of the decimal point.
![1.19709242282867431640625\cdot 10^(-19)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/adsytabbytpy8v4ewtuc14npzdynzy8rai.png)
When we will operate
that means decimal point will be shifted 19 digits left of its present position.
Hence, we get:
![.000000000000000000119709242282867431640625](https://img.qammunity.org/2019/formulas/mathematics/middle-school/3gzhjqbyv1mury5zbrw81tlghywwl4fndr.png)
Hence, 42 digits right of the decimal point.