Manatoko
teka
Pātaitai
Arithmetic
5 raruraru e ōrite ana ki:
3 ^ { 2 } \cdot 3 ^ { - 8 } = \frac { 3 } { 3 ^ { 8 } }
Tohaina
Kua tāruatia ki te papatopenga
3^{-6}=\frac{3}{3^{8}}
Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 2 me te -8 kia riro ai te -6.
3^{-6}=\frac{1}{3^{7}}
Tuhia anō te 3^{8} hei 3\times 3^{7}. Me whakakore tahi te 3 i te taurunga me te tauraro.
\frac{1}{729}=\frac{1}{3^{7}}
Tātaihia te 3 mā te pū o -6, kia riro ko \frac{1}{729}.
\frac{1}{729}=\frac{1}{2187}
Tātaihia te 3 mā te pū o 7, kia riro ko 2187.
\frac{3}{2187}=\frac{1}{2187}
Ko te maha noa iti rawa atu o 729 me 2187 ko 2187. Me tahuri \frac{1}{729} me \frac{1}{2187} ki te hautau me te tautūnga 2187.
\text{false}
Whakatauritea te \frac{3}{2187} me te \frac{1}{2187}.
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