Mathematics: If a is an integer, which of the following could be a4 ? a. 1.6 x 10^11 b. 1.6 x 10^12 c. 1.6 x 10^13 d. 1.6 x 10^14 e. 1.6 x 10^15

If a is an integer, which of the following could

Ответ:

xxxamslashxxx9

31.12.2021

So to work this out we need to find the 4th root of each of those and pick the one that gives an integer.

A: $\sqrt[4]{1.6*10^1^1} = 632.455...$ This is a decimal therefore not an integer.

B: $\sqrt[4]{1.6*10^1^2} =1124.682...$ Again a decimal, therefore not an integer.

C: $\sqrt[4]{1.6*10^1^3} =2000$ This is a whole number, so it is an integer.

D: $\sqrt[4]{1.6*10^1^4} =3556.558...$ Decimal, therefore not an integer

E: $\sqrt[4]{1.6*10^1^5} =6324.555...$ Again a decimal, not an integer.

The only one that gives an integer when put to the 4th root is C, therefore:

1.6*10^1^3