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كويز تفاعلي: revision on nth roots and rational exponent - Reveal

This worksheet provides a comprehensive review of nth roots and rational exponents. It covers converting between radical and exponential forms, simplifying complex algebraic expressions with fractional exponents, and solving radical equations by isolating the radical. Key concepts include identifying real roots for various indices and applying exponent laws to simplify products and quotients of terms with rational powers.
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رقم الاختبار 832
الصف الصف العاشر المتقدم
المادة رياضيات
الفصل الفصل الثالث
السنة الدراسية 2025/2026
عدد الأسئلة 17
إجمالي النقاط 17
تاريخ الإضافة 2026-04-21
الزيارات 262
الناشر Amal Salman
يرجى الانتباه إلى أن المعلم قام بإعداد الأسئلة فقط، ولم يقم بإعداد الإجابات أو الشروحات المرفقة. وقد تم توليد الإجابات باستخدام تقنيات الذكاء الاصطناعي، لذلك قد تتضمن بعض الأخطاء أو عدم الدقة.
للحصول على الإجابات الصحيحة والمضمونة، يُرجى الرجوع إلى المعلم أو المصدر الدراسي المعتمد.
Question 1
DB question no.: 1
Points: 1
Rewrite into rational exponent form: \( \sqrt{10} \)
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Question 4
DB question no.: 4
Points: 1
Write as a radical expression: y2/3
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Question 6
DB question no.: 8
Points: 1
Simplify: 64-2/3

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Question 8
DB question no.: 10
Points: 1
What is the first step to solve: \( p = \sqrt{4p+8} - 3 \)?

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Question 9
DB question no.: 11
Points: 1
What is the first step to solve: (41k-31)1/4 = 5?

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Question 11
DB question no.: 13
Points: 1
Simplify. Your answer should contain only positive exponents: yx1/3 × xy3/2

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Question 12
DB question no.: 14
Points: 1
Simplify. Your answer should contain only positive exponents: \( \frac{a^2 b^0}{3a^4} \)

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Question 13
DB question no.: 15
Points: 1
Simplify. Your answer should contain only positive exponents: (x0 y1/3)3/2 × x0

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Question 14
DB question no.: 16
Points: 1
Find the indicated real nth root(s) of a: n = 6, a = -729
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Question 15
DB question no.: 17
Points: 1
Find the indicated real nth root(s) of a: n = 4, a = 256
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Question 16
DB question no.: 18
Points: 1
Match the equivalent expression: \( 1/(\sqrt[4]{5}) \)

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Question 17
DB question no.: 19
Points: 1
Match the equivalent expression: \( (\sqrt[4]{5})^3 \)

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