MATH SOLVE

5 months ago

Q:
# Excluding trailing zeroes, how many digits does 0.4^24 x 0.375^22 have to the right of the decimal point? Please explain.

Accepted Solution

A:

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 Β [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.