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Sub 505 Level|   Algebra|   Exponents|      
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AndrewN
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If m and n are integers, what is the value of m^4 + n^4? (1) n^3 = 27 26 Jul 2022, 07:08
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C
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93% (00:36) correct 7% (00:48) wrong based on 129 sessions

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If m and n are integers, what is the value of \(m^4 + n^4\)?

\((1)\) \(n^3 = 27\)

\((2)\) \(m^3= –27\)

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C
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If m and n are integers, what is the value of m^4 + n^4? (1) n^3 = 27 26 Jul 2022, 07:28
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1) n=3 but no info about m
2) m=-3 but no info about n
Together
We have value of m and n, we can find out the required value
Answer - C

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If m and n are integers, what is the value of m^4 + n^4? (1) n^3 = 27 11 Jun 2025, 21:06
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Bunuel n can be -3 or +3 , so the final answer can be 2 values why its C and not E
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Bunuel
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If m and n are integers, what is the value of m^4 + n^4? (1) n^3 = 27 11 Jun 2025, 23:45
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ansh00700
AndrewN
If m and n are integers, what is the value of \(m^4 + n^4\)?

\((1)\) \(n^3 = 27\)

\((2)\) \(m^3= –27\)


Bunuel n can be -3 or +3 , so the final answer can be 2 values why its C and not E

n^3 = 27 has only one solution because cube roots (odd powers) preserve the sign. So n = 3 is the only real solution.

n = -3 would give n^3 = -27, not 27.
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If m and n are integers, what is the value of m^4 + n^4? (1) n^3 = 27 12 Jun 2025, 02:16
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Thank you :). i was making cuber root and taking both + and negative sign . I dont know what was i thinking . Thanks a lot
Bunuel
ansh00700
AndrewN
If m and n are integers, what is the value of \(m^4 + n^4\)?

\((1)\) \(n^3 = 27\)

\((2)\) \(m^3= –27\)


Bunuel n can be -3 or +3 , so the final answer can be 2 values why its C and not E

n^3 = 27 has only one solution because cube roots (odd powers) preserve the sign. So n = 3 is the only real solution.

n = -3 would give n^3 = -27, not 27.
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