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Tohaina

8^{\frac{5}{3}}x^{\frac{5}{3}}
Whakarohaina te \left(8x\right)^{\frac{5}{3}}.
32x^{\frac{5}{3}}
Tātaihia te 8 mā te pū o \frac{5}{3}, kia riro ko 32.
\frac{\mathrm{d}}{\mathrm{d}x}(8^{\frac{5}{3}}x^{\frac{5}{3}})
Whakarohaina te \left(8x\right)^{\frac{5}{3}}.
\frac{\mathrm{d}}{\mathrm{d}x}(32x^{\frac{5}{3}})
Tātaihia te 8 mā te pū o \frac{5}{3}, kia riro ko 32.
\frac{5}{3}\times 32x^{\frac{5}{3}-1}
Ko te pārōnaki o ax^{n} ko nax^{n-1}.
\frac{160}{3}x^{\frac{5}{3}-1}
Whakareatia \frac{5}{3} ki te 32.
\frac{160}{3}x^{\frac{2}{3}}
Tango 1 mai i \frac{5}{3}.