Respuesta :
Answer:
42 digits does [tex]0.4^{24} \times 0.375^{22}[/tex] have to the right of the decimal point.
Step-by-step explanation:
Trailing zeroes states that those which you get in decimal representation and after that there comes no digit.
Given the expression:
[tex]0.4^{24} \times 0.375^{22}[/tex]
Simplify:
[tex]1.19709242282867431640625 \times 10^{-19}[/tex]
Now, you will operate [tex]10^{-19}[/tex]
Which means decimal point will be shifted 19 digits left of its present position.
we have then,
[tex]0.000000000000000000119709242282867431640625[/tex]
Hence, 42 digits does [tex]0.4^{24} \times 0.375^{22}[/tex] have to the right of the decimal point.