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Sederhanakanlah bentuk operasi bilangan berpangkat x 2 y 5 2 1 ⋅ x − 4 y 2 ⋅ 1 x 5 y 5 7 !

Sederhanakanlah bentuk operasi bilangan berpangkat $\frac{1}{x ^{2} y ^{\frac{2}{5}}} \cdot \frac{y ^{2}}{x ^{- 4}} \cdot \frac{x ^{5} y ^{\frac{7}{5}}}{1}!$

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$B i l a n g a n space b e r p a n g k a t space d i space s o a l space a d a l a h space b e n t u k space p e r m a s a l a h a n space b i l a n g a n space b e r p a n g k a t space p o s i t i f comma space n e g a t i f space d a n space space p e c a h a n comma space s e h i n g g a space c a r a space p e n y e l e s a i a n n y a space s e b a g a i space b e r i k u t space colon fraction numerator 1 over denominator x squared y to the power of begin display style 2 over 5 end style end exponent end fraction x y squared over x to the power of negative 4 end exponent x fraction numerator x to the power of 5 y to the power of begin display style 7 over 5 end style end exponent over denominator 1 end fraction equals x to the power of 5 minus 2 minus left parenthesis negative 4 right parenthesis end exponent y to the power of 2 plus 7 over 5 minus 2 over 5 end exponent equals x to the power of 7 y cubed$