31.5k views
5 votes
Excluding trailing zeroes, how many digits does 0.4^24 x 0.375^22 have to the right of the decimal point? Please explain.

User Bo Sunesen
by
8.3k points

2 Answers

4 votes

Answer:

42

Explanation:

User Murat Aslan
by
7.7k points
0 votes

Answer:

42 digits does
0.4^(24) * 0.375^(22) have to the right of the decimal point.

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) * 0.375^(22)

Simplify:


1.19709242282867431640625 * 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) * 0.375^(22) have to the right of the decimal point.



User Rupesh Patel
by
8.4k points