Which of the following expressions is equivalent to 161449√

? Use the properties of exponents to help determine the answer.(1 point)
Responses

12
Start Fraction 1 over 2 End Fraction

2
2

27
Start Fraction 2 over 7 End Fraction

47

1 answer

To simplify the expression \( 161449\sqrt{} \), we first recognize that the square root can be expressed using exponents. The square root of a number is equivalent to raising that number to the power of \( \frac{1}{2} \).

Now, we can express \( 161449 \) in a more manageable form. Noting that \( 161449 \) is a perfect square, we can find its square root.

Calculating the square root of \( 161449 \):

\[ \sqrt{161449} = 401 \]

So, the value of \( 161449\sqrt{} \) simplifies to \( 401 \).

Next, let's check the available responses and see which one is equivalent to \( 401 \).

  1. \( 12 \)
  2. \( \frac{1}{2} \)
  3. \( 2 \)
  4. \( \frac{2}{7} \)
  5. \( 47 \)

None of these options is equal to \( 401 \). It seems like there might have been some confusion about the options provided. If you intended to provide an option that is equivalent to \( 401 \), please check the options again.

Based on the calculation:

\[ 161449\sqrt{} = 401 \]

If \( 401 \) is indeed the result, then none of the options match.