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Problem Solving (PS) | What is the value of integer n if (√(16/(10^n)))^2 = 0.04^2

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EBITDA wrote:

What is the value of integer n if \((\sqrt{\frac{16}{10^n}})^2=0.04^2\)

A) 0
B) 1
C) 2
D) 3
E) 4

Please explain in detail your answer.

Thank you.

\((\sqrt{\frac{16}{10^n}})^2=0.04^2\)

\({\frac{16}{10^n}}=0.0016\)

\({\frac{16}{10^n}} = 16 * 10^{-4}\)

\({\frac{16}{10^n}} = {\frac{16}{10^4}}\)

\(n = 4\)
Answer E
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