Question

Simplify expression 49 with an exponent of 1/2

Answer 1

Hello!

The answer is:

The simplified form of the given expression is 7.

$49^{\frac{1}{2}}=\sqrt[2]{49^{1}}=\sqrt[2]{49}=7$

Why?

To simplify the given expression, we must remember the following property of roots:

$a^{\frac{m}{n}}=\sqrt[n]{a^{m} }$

We are given the expression:

$49^{\frac{1}{2}}$

Which can be also written as:

$49^{\frac{1}{2}}=\sqrt[2]{49^{1}}=\sqrt[2]{49}$

Then, simplifying we have:

$\sqrt[2]{49}=7$

Hence, the simplified form of the given expression is 7.

Have a nice day!

Answer 2

Answer: 7

Step-by-step explanation: To simplify $49^{1/2}$, it's important to understand that an exponent of 1/2 means that we take the square root of the base. In other words, $49^{1/2}$ means the same thing as the square root of 49 or $\sqrt{49}$ and the square root of 49 is 7.

This means that $49^{1/2}$ is 7.