To simplify the expression \(\sqrt{\frac{25}{25}}^{1/2}\), we can use the properties of exponents and the fact that the square root can be expressed as a fractional exponent.
First, simplify \(\frac{25}{25}\):
\[ \frac{25}{25} = 1 \]
Taking the square root (which is equivalent to raising to the 1/2 power) of \(1\):
\[ \sqrt{1}^{1/2} = 1^{1/2} \]
Since any number raised to the power of 1/2 is still the same number, we have:
\[ 1^{1/2} = 1 \]
So, the equivalent expression for \(\sqrt{\frac{25}{25}}^{1/2}\) is:
\[ 1 \]
Thus, the answer is:
1
1 answer