Answer:
As
so option D is correct.
Step-by-step explanation:
Given the expression
![\sqrt[3]{\left(-0.05\right)^{24}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cleft%28-0.05%5Cright%29%5E%7B24%7D%7D)
![\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aradical%5C%3Arule%7D%3A%5Cquad%20%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7Bn%7D%7D)
![\sqrt[3]{\left(-0.05\right)^{24}}=\left(\left(-0.05\right)^{24}\right)^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cleft%28-0.05%5Cright%29%5E%7B24%7D%7D%3D%5Cleft%28%5Cleft%28-0.05%5Cright%29%5E%7B24%7D%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)




Hence, the simplification will be:
![\sqrt[3]{\left(-0.05\right)^{24}}=0.05^8](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cleft%28-0.05%5Cright%29%5E%7B24%7D%7D%3D0.05%5E8)
Therefore, option D is correct.
Answer:
Current impact in pollution units per day=21.6 billion pollution units per day
Step-by-step explanation:
1 person consumes 3000 kilo-calories per person
Current population=7.2 billion people
Total calories the entire population produces=(7.2 billion×3000)
1000 kilo-calories causes= 1 pollution unit
To get the impact of the entire population=(7.2 billion×3000)/1000=21.6 billion pollution units per day
Number of multiples of 7 up to 1337:

Number of multiples of 11 up to 1337:

Number of multiples of 77 up to 1337:

This means there are

distinct multiples of 7 *or* 11 up to 1337.
The sum of these multiples is

which can be computed using the well-known formula,

So you have