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Sub 505 (Easy)|   Exponents|   Roots|      
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Bunuel
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What is the value of (8^(1/6))^2? 05 Jan 2017, 03:57
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E
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Difficulty:

5% (low)

Question Stats:

91% (00:35) correct 9% (00:56) wrong based on 205 sessions

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What is the value of \((\sqrt[6]{8})^2\)?

A. 64
B. 16
C. 8
D. 3
E. 2
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E
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What is the value of (8^(1/6))^2? 05 Jan 2017, 10:21
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Bunuel
What is the value of \((\sqrt[6]{8})^2\)?

A. 64
B. 16
C. 8
D. 3
E. 2
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\((\sqrt[6]{8})^2\)

=8^(2/6)
=8^1/3
= (2^3)^1/3
=2^(3*1/3)
2^1
=2
Ans E
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What is the value of (8^(1/6))^2? 09 Jan 2017, 10:34
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Bunuel
What is the value of \((\sqrt[6]{8})^2\)?

A. 64
B. 16
C. 8
D. 3
E. 2
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We can rewrite the given expression as:

(8)^[(1/6)(2)] = (8)^(1/3) = 2

Answer: E
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What is the value of (8^(1/6))^2? 09 Jan 2017, 13:06
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Bunuel
What is the value of \((\sqrt[6]{8})^2\)?

A. 64
B. 16
C. 8
D. 3
E. 2
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\(((2^3)^\frac{1}{6})^2\) ==> \((2^\frac{1}{2})^2\) ==> 2
Answer is E .
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What is the value of (8^(1/6))^2? 09 Jan 2017, 13:28
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Bunuel
What is the value of \((\sqrt[6]{8})^2\)?

A. 64
B. 16
C. 8
D. 3
E. 2
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Some background regarding powers and roots:


So, \((\sqrt[6]{8})^2\) = [8^(1/6)]² [applied above rule]

= 8^(2/6) [applied Power of a Power rule]

= 8^(1/3)

= \(\sqrt[3]{8}\) [applied above rule]

= 2
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What is the value of (8^(1/6))^2? 12 Jan 2017, 14:12
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\((8)^{2/6}\)
\(8^{1/3}\)
2
E
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What is the value of (8^(1/6))^2? 12 Jan 2017, 15:26
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Bunuel
What is the value of \((\sqrt[6]{8})^2\)?

A. 64
B. 16
C. 8
D. 3
E. 2
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\((\sqrt[6]{8})^2\) = [8^(1/6)]^2 = 8^(1/3) = 2^1 = 2

Correct Option: E
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What is the value of (8^(1/6))^2? 03 Sep 2024, 15:51
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