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05 Nov 2020, 06:19
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B
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Which of the following is equal to \((\frac{4}{7})^{-4}\)
(A) \(-(\frac{4}{7})^4\)
(B) \((\frac{7}{4})^4\)
(C) \((\frac{4}{7})^\frac{1}{4}\)
(D) \((-\frac{4}{7})^\frac{1}{4}\)
(E) \(-(\frac{4}{7})^2\)
(A) \(-(\frac{4}{7})^4\)
(B) \((\frac{7}{4})^4\)
(C) \((\frac{4}{7})^\frac{1}{4}\)
(D) \((-\frac{4}{7})^\frac{1}{4}\)
(E) \(-(\frac{4}{7})^2\)
rocky620
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05 Nov 2020, 08:44
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\(a^-b\) = \((\frac{1}{a})^b\)
Hence, \((\frac{4}{7})^-4\) = \((\frac{7}{4})^4\)
Hence, \((\frac{4}{7})^-4\) = \((\frac{7}{4})^4\)
10 Nov 2020, 07:02
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Sajjad1994
Solution:
Recall that a^(-n) = (1/a)^n. Therefore, (4/7)^(-4) = (7/4)^4.
Answer: B
