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simplify $121^{1/2}$

Question

simplify $121^{1/2}$

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 121

We know that $121 = 11\times11=11^{2}$. So, $121^{\frac{1}{2}}=\sqrt{121}$. Since $\sqrt{121} = 11$ (because $11^{2}=121$).

Answer:

11