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simplify 49^(1/2)

Question

simplify 49^(1/2)

Explanation:

Step1: Recall exponent rule

The rule for a number raised to the power of $\frac{1}{2}$ is that $a^{\frac{1}{2}}=\sqrt{a}$, where $a\geq0$.

Step2: Apply the rule to 49

For $49^{\frac{1}{2}}$, we use the rule above, so $49^{\frac{1}{2}}=\sqrt{49}$.

Step3: Calculate the square root

We know that $7\times7 = 49$, so $\sqrt{49}=7$.

Answer:

7