Simplify 27⋅43828227⋅43 A 128 B 64 C 32 D 16 Explanation Write all as powers of 2: 43=(22)3=2643=(22)3=26, 82=(23)2=2682=(23)2=26. Then
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Chapter 5: Exponents and Powers (Set-2)
Simplify a9÷a4a9÷a4 for a≠0a=0 A a13a13 B a5a5 C a−5a−5 D a4a4 Explanation When dividing same bases, subtract exponents: a9/a4=a9−4=a5a9/a4=a9−4=a5.
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Simplify a7×a3a7×a3 for a≠0a=0 A a21a21 B a4a4 C a10a10 D a73a37 Explanation When multiplying powers with the same base,
Continue readingChapter 4: Rational, Irrational and Real Numbers (Set-5)
If x=0.135‾x=0.135, what is xx in simplest fraction form A 15/99 B 135/1000 C 5/37 D 27/199 Explanation Let x=0.135135…x=0.135135….
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Which statement is always true A Rational ⇒ nonrepeating B Irrational ⇒ repeating C Terminating ⇒ rational D Repeating ⇒
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Which number is irrational A 0.125 B 17/5 C −9 D √6 Explanation 0.125 is terminating, 17/5 is a fraction,
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Which number is rational A −11/4 B √5 C π D √7 Explanation A rational number can be written as
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Which is a rational number A √2 B 7/9 C √3 D π Explanation A rational number can be written
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How many primes are there between 50 and 70? A 3 B 5 C 4 D 6 Explanation Check each
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Which of the following is a prime number? A 97 B 91 C 93 D 95 Explanation To check primality,
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