Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Get quick and reliable answers to your questions from a dedicated community of professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

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

Sagot :

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

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

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

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

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

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

[tex]1.6*10^1^3[/tex] could be A^4, as the 4th root of it is an integer.

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.