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Answer:
The value of
[tex]a {}^{b} - c \: b {}^{c} - a \: c {}^{a} - b \: [/tex]
is
[tex] \frac { 19}{8} [/tex]
Step-by-step explanation:
[tex]a {}^{b} - c \: b {}^{c} - a \: c {}^{a} - b[/tex]
where,
Thus, substitute these values to the given equation to find the values.
[tex]a {}^{b} - c \: b {}^{c} - a \: c {}^{a} - b ... \: substitute \: \\ given \: values \\ (1) {}^{2} - ( - 3)(2) {}^{ - 3} - 1( - 3) {}^{1} - 2 \\ 1 + 3 \: ( \frac{1}{8} ) - 1( - 3) - 2 \\ 1 + \frac{3}{8} + 3 - 2 \\ \frac{11}{8} + 3 - 2 \\ \frac{35}{8} - 2 \\ \frac{19}{8} = 2 \frac{3}{8} [/tex]
Hope it helps