Sqrt Negative Power Cee7Ea

1. **State the problem:** Calculate $\text{sqr}((-5)^6)$, where $\text{sqr}$ means square root. 2. **Rewrite the expression:** We need to find $\sqrt{(-5)^6}$. 3. **Evaluate the power:** Calculate $(-5)^6$. Since the exponent is even, $(-5)^6 = (5)^6 = 15625$. 4. **Simplify the square root:** Now find $\sqrt{15625}$. 5. **Calculate the square root:** $\sqrt{15625} = 125$ because $125^2 = 15625$. 6. **Final answer:** $\sqrt{(-5)^6} = 125$. This is because raising a negative number to an even power results in a positive number, and then taking the square root of that positive number gives a positive result.