Answered

If a is an integer, which of the 

following could be a4 ?

A1.6 X 10^11
B1.6 X 10^12
C1.6 X 10^13 
D1.6 X 10^14
E1.6 X 10^15

Verified Answer :

TaylorBayley

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:

\(1.6*10^1^3\) could be A^4, as the 4th root of it is an integer.

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