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# For all integers m and n, where m ≠ n, m↑n = |(m^2 - n^2)/(m - n)|. Wh

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Re: For all integers m and n, where m ≠ n, m↑n = |(m^2 - n^2)/(m - n)|. Wh [#permalink]
simplify the modulus

|(m^2 -n^2) / (m-n)| = |(m+n)(m-n) / m-n| = |m+n| = |-2+4| = |2|
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Re: For all integers m and n, where m ≠ n, m↑n = |(m^2 - n^2)/(m - n)|. Wh [#permalink]
Bunuel wrote:
For all integers m and n, where m ≠ n, $$m↑n = |\frac{m^2 - n^2}{m - n}|$$. What is the value of (–2)↑4?

A. 10
B. 8
C. 6
D. 2
E. 0

Simple expansion of $$m^2 - n^2$$ = (m-n) (m+n), can help us in solving the question

$$m↑n = |\frac{m^2 - n^2}{m - n}|$$

$$m↑n = |\frac{(m-n) (m+n)}{m - n}|$$

$$m↑n = |(m+n)|$$

$$-2 ↑4 = |-2 + 4|$$