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# If m = -1 and n = –4, then what is the value of (m)^n(m – 1)^(n + 1)(m

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Math Expert
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If m = -1 and n = –4, then what is the value of (m)^n(m – 1)^(n + 1)(m [#permalink]

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05 Sep 2017, 01:25
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If m = -1 and n = –4, then what is the value of $$(m)^n(m – 1)^{(n + 1)}(m – 2)^{(n + 2)}(m – 3)^{(n + 3)}(m – 4)^{(n + 4)} =$$

A. -1/576

B. -1/288

C. 1/2

D. 1/288

E. 1/576
[Reveal] Spoiler: OA

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If m = -1 and n = –4, then what is the value of (m)^n(m – 1)^(n + 1)(m [#permalink]

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05 Sep 2017, 01:32
m = -1 and n = –4

$$(m)^{n}(m–1)^{(n+1)}(m–2)^{(n+2)}(m–3)^{(n+3)}(m–4)^{(n+4)}$$
=$$(-1)^{(-4)}(-2)^{(-2)}(-3)^{(-2)}(-4)^{(-1)}(-5)^{0}$$
=$$(1/-1)^{4}(1/-2)^{(2)}(1/-3)^{(2)}(1/-4)^{(1)} * 1$$
= 1* (1/-8)*(1/9)*(1/-4)*1
=1/188

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Re: If m = -1 and n = –4, then what is the value of (m)^n(m – 1)^(n + 1)(m [#permalink]

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07 Sep 2017, 16:46
Bunuel wrote:
If m = -1 and n = –4, then what is the value of $$(m)^n(m – 1)^{(n + 1)}(m – 2)^{(n + 2)}(m – 3)^{(n + 3)}(m – 4)^{(n + 4)} =$$

A. -1/576

B. -1/288

C. 1/2

D. 1/288

E. 1/576

(-1)^-4 x (-2)^-3 x (-3)^-2 x (-4)^-1 x (-5)^0

1 x (-1/8) x 1/9 x (-1/4) x 1 = 1/288

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Re: If m = -1 and n = –4, then what is the value of (m)^n(m – 1)^(n + 1)(m [#permalink]

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07 Sep 2017, 20:33
m = -1 and n = –4

(-1)^-4 * (-2)^-3 * (-3)^-2 * (-4)^-1 * (-5)^0
= 1 (-1/8) (1/9) (-1/4)(1)
= 1/(72*4)
=1/288

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Re: If m = -1 and n = –4, then what is the value of (m)^n(m – 1)^(n + 1)(m   [#permalink] 07 Sep 2017, 20:33
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