evaluate the following.

click on
ot a real number\ if applicable.

(a) $\sqrt{(-1)^4} = \square$

(b) $\sqrt{(-9)^2} = \square$

Question

evaluate the following.

click on
ot a real number\ if applicable.

(a) $\sqrt{(-1)^4} = \square$

(b) $\sqrt{(-9)^2} = \square$

Accepted Answer

{ "quality": "clear", "question_count": 2, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Exponent Rules", "Negative Exponents", "Integer Powers" ], "new_concepts": [ "Principal Square Root", "Evaluating Radical Expressions" ], "current_concepts": [ "Exponent Rules", "Negative Exponents", "Integer Powers", "Principal Square Root", "Evaluating Radical Expressions" ] } ## Evaluate the first radical expression $$ \begin{aligned} (-1)^4 &= 1 \ \sqrt{(-1)^4} &= \sqrt{1} = 1 \end{aligned} $$ ## Evaluate the second radical expression $$ \begin{aligned} (-9)^2 &= 81 \ \sqrt{(-9)^2} &= \sqrt{81} = 9 \end{aligned} $$ ## Question 1 (a) $\sqrt{(-1)^4} =$ 1 ## Question 2 (b) $\sqrt{(-9)^2} =$ 9 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Evaluating Radical Expressions" ] }

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QUESTION IMAGE

Question

Explanation:

Evaluate the first radical expression

Evaluate the second radical expression

Answer:

Question 1

Question 2