Aromātai
x^{2}y^{10}
Kimi Pārōnaki e ai ki x
2xy^{10}
Pātaitai
Algebra
5 raruraru e ōrite ana ki:
\frac { 4 x ^ { 3 } y ^ { 15 } } { 4 x ^ { 1 } y ^ { 5 } }
Tohaina
Kua tāruatia ki te papatopenga
\frac{4^{1}x^{3}y^{15}}{4^{1}x^{1}y^{5}}
Whakamahia ngā ture taupū hei whakarūnā i te kīanga.
4^{1-1}x^{3-1}y^{15-5}
Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.
4^{0}x^{3-1}y^{15-5}
Tango 1 mai i 1.
x^{3-1}y^{15-5}
Mō tētahi tau a mahue te 0, a^{0}=1.
x^{2}y^{15-5}
Tango 1 mai i 3.
x^{2}y^{10}
Tango 5 mai i 15.
\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4y^{15}}{4y^{5}}x^{3-1})
Hei whakawehe i ngā pū o te pūtake kotahi, tangohia te taupū o te tauraro mai i te taupū o te taurunga.
\frac{\mathrm{d}}{\mathrm{d}x}(y^{10}x^{2})
Mahia ngā tātaitanga.
2y^{10}x^{2-1}
Ko te pārōnaki o tētahi pūrau ko te tapeke o ngā pārōnaki o ōna kīanga tau. Ko te pārōnaki o tētahi kīanga tau pūmau ko 0. Ko te pārōnaki o te ax^{n} ko te nax^{n-1}.
2y^{10}x^{1}
Mahia ngā tātaitanga.
2y^{10}x
Mō tētahi kupu t, t^{1}=t.
Ngā Tauira
whārite tapawhā
{ x } ^ { 2 } - 4 x - 5 = 0
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