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.**
The only option that could be a 4 for an integer a is C: 1.6 × 1 0 13 because its fourth root is exactly 2000, an integer. All other options yield decimal values. Therefore, the correct choice is C.
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