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trapecia [35]
3 years ago
6

Simplify expression 49 with an exponent of 1/2

Mathematics
2 answers:
Nata [24]3 years ago
6 0
<h2>Hello!</h2>

The answer is:

The simplified form of the given expression is 7.

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

<h2>Why?</h2>

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!

gtnhenbr [62]3 years ago
6 0

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.

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