CA Foundation Exam > CA Foundation Questions > The value of 2 × (32) 1/5 isa)2b)10c)4d)...
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The value of 2 × (32) 1/5 is
- a)2
- b)10
- c)4
- d)none of these
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The value of 2 × (32) 1/5 isa)2b)10c)4d)none of theseCorrect answ...
Given, 2(32)1/5
We can simplify this expression using the rules of exponents as follows:
- First, we can simplify the exponent by multiplying the numerator and denominator by 5: 1/5 * 5/5 = 5/25.
- Next, we can rewrite 32 as 25 * 2, since 32 = 25 * 2^1.6. This gives us:
2(32)1/5 = 2(25*2)5/25
= 2(5/5 * 25 * 2)5/25
= 2(5/5 * 10)5/25
= 2(10/25)
= 2(2/5)
- Finally, we can convert this expression to a mixed number by dividing the numerator (2) by the denominator (5) and writing the remainder (2) as a fraction with the same denominator. This gives us:
2(2/5) = 4/5
Therefore, the value of 2(32)1/5 is 4/5, which is option C.
We can simplify this expression using the rules of exponents as follows:
- First, we can simplify the exponent by multiplying the numerator and denominator by 5: 1/5 * 5/5 = 5/25.
- Next, we can rewrite 32 as 25 * 2, since 32 = 25 * 2^1.6. This gives us:
2(32)1/5 = 2(25*2)5/25
= 2(5/5 * 25 * 2)5/25
= 2(5/5 * 10)5/25
= 2(10/25)
= 2(2/5)
- Finally, we can convert this expression to a mixed number by dividing the numerator (2) by the denominator (5) and writing the remainder (2) as a fraction with the same denominator. This gives us:
2(2/5) = 4/5
Therefore, the value of 2(32)1/5 is 4/5, which is option C.
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Community Answer
The value of 2 × (32) 1/5 isa)2b)10c)4d)none of theseCorrect answ...
2×(32)^1/5 =2×2=4
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