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SAT Exam  >  SAT Tests  >  Mathematics for Digital SAT  >  Test: Exponents and Radicals - 2 - SAT MCQ

Test: Exponents and Radicals - 2 - SAT MCQ


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10 Questions MCQ Test Mathematics for Digital SAT - Test: Exponents and Radicals - 2

Test: Exponents and Radicals - 2 for SAT 2024 is part of Mathematics for Digital SAT preparation. The Test: Exponents and Radicals - 2 questions and answers have been prepared according to the SAT exam syllabus.The Test: Exponents and Radicals - 2 MCQs are made for SAT 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Exponents and Radicals - 2 below.
Solutions of Test: Exponents and Radicals - 2 questions in English are available as part of our Mathematics for Digital SAT for SAT & Test: Exponents and Radicals - 2 solutions in Hindi for Mathematics for Digital SAT course. Download more important topics, notes, lectures and mock test series for SAT Exam by signing up for free. Attempt Test: Exponents and Radicals - 2 | 10 questions in 15 minutes | Mock test for SAT preparation | Free important questions MCQ to study Mathematics for Digital SAT for SAT Exam | Download free PDF with solutions
Test: Exponents and Radicals - 2 - Question 1
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The value of (256)5/4 is

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= (256)5/4
= (44)5/4
= 45
= 1024

Test: Exponents and Radicals - 2 - Question 2
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Test: Exponents and Radicals - 2 - Question 3
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If 310 × 272 = 92 × 3n then the value of n is

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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
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If x = 5 + 2√6, then 
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Test: Exponents and Radicals - 2 - Question 6
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The simplified form of
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Test: Exponents and Radicals - 2 - Question 7
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= x0
= 1

Test: Exponents and Radicals - 2 - Question 8
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= 32
= 9

Test: Exponents and Radicals - 2 - Question 9
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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 = an 

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
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If (a/b)x - 1 = (b/a)x - 3, then the value of x is
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∴  x - 1 = 3 - x
2x = 4
x = 2

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