The expression
( x − 2 y 2 z − 2 y − 4 z 2 x − 5 ) − 1 \displaystyle {\left({\frac{{{x}^{{-{{2}}}}{y}^{{2}}{z}^{{-{{2}}}}}}{{{y}^{{-{{4}}}}{z}^{{2}}{x}^{{-{{5}}}}}}}\right)}^{{-{{1}}}} ( y − 4 z 2 x − 5 x − 2 y 2 z − 2 ) − 1
equals
z r x s y t \displaystyle \frac{{z}^{{r}}}{{{x}^{{s}}{y}^{{t}}}} x s y t z r where
r \displaystyle {r} r , the exponent of
z \displaystyle {z} z , is:
s \displaystyle {s} s , the exponent of
x \displaystyle {x} x , is:
t \displaystyle {t} t , the exponent of
y \displaystyle {y} y , is:
[NOTE: Your answers cannot be algebraic expressions.]
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Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172
Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172