$m^{n} = | 2 |$
${| m - 1 |}^{n + 1}$ = ?

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Solution

Given,

$m^{n} = | 2 |$

$\Rightarrow 2^{1} = | 2 |$

$∴ m = 2, n = 1$

$| m - 1 |^{n + 1}$

$= | 2 - 1 |^{1 + 1}$

$= | 1 |^{2}$

$= 1$

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and

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mn=|2||m−1|n+1 = ?

Given,mn=|2|⇒21=|2|∴m=2,n=1|m−1|n+1=|2−1|1+1=|1|2=1

$m^{n} = | 2 |$
${| m - 1 |}^{n + 1}$ = ?

Given,

$m^{n} = | 2 |$

$\Rightarrow 2^{1} = | 2 |$

$∴ m = 2, n = 1$

$| m - 1 |^{n + 1}$

$= | 2 - 1 |^{1 + 1}$

$= | 1 |^{2}$

$= 1$