Hello!
The answer is:
The simplified form of the given expression is 7.
[tex]49^{\frac{1}{2}}=\sqrt[2]{49^{1}}=\sqrt[2]{49}=7[/tex]
Why?
To simplify the given expression, we must remember the following property of roots:
[tex]a^{\frac{m}{n}}=\sqrt[n]{a^{m} }[/tex]
We are given the expression:
[tex]49^{\frac{1}{2}}[/tex]
Which can be also written as:
[tex]49^{\frac{1}{2}}=\sqrt[2]{49^{1}}=\sqrt[2]{49}[/tex]
Then, simplifying we have:
[tex]\sqrt[2]{49}=7[/tex]
Hence, the simplified form of the given expression is 7.
Have a nice day!
