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

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.



Answer:

42

Step-by-step explanation:

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