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Cześć!
Szczegółowe wyjaśnienie:
Zadanie 1.
Podnieś do potęgi
A. (3x)⁴ = 3⁴x⁴ = 81x⁴
B. (-2x²)³ = (-2)³ · (x²)³ = -8x⁶
C. (-x²y³)³ = (- x²)³ · y⁹ = - (x²)³ · y⁹ = - x⁶y⁹
D.
[tex]( \frac{ - 4x {}^{\ 4} }{3y} ) = - \frac{4x {}^{4} }{3y} [/tex]
Zadanie 2.
Oblicz
[tex] \frac{2 {}^{9} }{125} \cdot \frac{5 {}^{7} }{32} = \frac{2 {}^{9} }{5 {}^{3} } \cdot \frac{5 {}^{7} }{2 {}^{5} } = 2 {}^{4} \cdot5 {}^{4} = (2 \cdot5) {}^{4} = 10 {}^{4} [/tex]