Question

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

Answer 1

I believe the answer to this is zero but I am not 100 percent sure.

Answer 2

Answer:

42 digits does $0.4^{24} \times 0.375^{22}$ 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:

$0.4^{24} \times 0.375^{22}$

Simplify:

$1.19709242282867431640625 \times 10^{-19}$

Now, you will operate  $10^{-19}$

Which means decimal point will be shifted 19 digits left of its present position.

we have then,

$0.000000000000000000119709242282867431640625$

Hence, 42 digits does $0.4^{24} \times 0.375^{22}$ have to the right of the decimal point.