Test: Exponents and Radicals - 2 - Class 10 MCQ

# Test: Exponents and Radicals - 2 - Class 10 MCQ

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Test: Exponents and Radicals - 2 for Class 10 2024 is part of The Complete SAT Course preparation. The Test: Exponents and Radicals - 2 questions and answers have been prepared according to the Class 10 exam syllabus.The Test: Exponents and Radicals - 2 MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Exponents and Radicals - 2 below.
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Test: Exponents and Radicals - 2 - Question 1

### The value of (256)5/4 is

Detailed Solution for Test: Exponents and Radicals - 2 - Question 1

= (256)5/4
= (44)5/4
= 45
= 1024

Test: Exponents and Radicals - 2 - Question 2
Detailed Solution for Test: Exponents and Radicals - 2 - Question 2

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Test: Exponents and Radicals - 2 - Question 3

### If 310 × 272 = 92 × 3n then the value of n is

Detailed Solution for Test: Exponents and Radicals - 2 - Question 3

310 × 272 = 92 × 3n

⇒ 10 + 6 = 4 + n
⇒ n = 12

Test: Exponents and Radicals - 2 - Question 4

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Test: Exponents and Radicals - 2 - Question 5

If x = 5 + 2√6, then

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Test: Exponents and Radicals - 2 - Question 6

The simplified form of

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Test: Exponents and Radicals - 2 - Question 7

Detailed Solution for Test: Exponents and Radicals - 2 - Question 7

= x0
= 1

Test: Exponents and Radicals - 2 - Question 8

Detailed Solution for Test: Exponents and Radicals - 2 - Question 8

= 32
= 9

Test: Exponents and Radicals - 2 - Question 9

If 3x−y = 27 and 3x+y = 243, then x=.

Detailed Solution for Test: Exponents and Radicals - 2 - Question 9

Given

3x - y = 27

3x + y = 273

Concept Used

am = a

m = n

Calculation

⇒ 3x - y  = 33

⇒ x - y = 3 ----(1)

⇒ 3x + y = 273 = 35

⇒ x + y = 5  ----(2)

From (1) and (2), we get x = 4

∴ The value of x is 4

Test: Exponents and Radicals - 2 - Question 10

If (a/b)x - 1 = (b/a)x - 3, then the value of x is

Detailed Solution for Test: Exponents and Radicals - 2 - Question 10

∴  x - 1 = 3 - x
2x = 4
x = 2

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