Jenniferwolf
23.02.2020 •
Mathematics
Prove the divisibility of the following numbers: 45^10·5^40 by 25^20
PLEASE ANSWER
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Ответ:
Step-by-step explanation:
One number is divisible by another if, after division, the remainder is 0.
For example, 12 is divisible by 3, because 12/3 = 4 and the remainder is 0. But 11 isn't divisible by 3 because 11/3 = 3 and the remainder is 2.
So, here, our number is 45^10 • 5^40 and we need to determine whether it is divisible by 25^20.
25^20 can be written as (5^2)^20 which equals to 5^40.
So, basically, we have:
45^10 • 5^40 / 5^40
When we cancel out the same numbers, we are left only with 45^10 and no remainders, meaning these two numbers are divisible.
Ответ:
0.00604=6.04×10^(-3)
0.000070=7.0×10^(-5)
71000=7.1×10^(4)