Whakaoti i te =(330ton)(1000kg/1ton)/(160g)(frac{1kg{1000g})}xfrac{50text{pieces}}{1text{box}}

$$= \frac { ( 330 ton ) ( \frac { 1000 kg } { 1 ton } ) } { ( 160 g ) ( \frac { 1 k g } { 1000 g } ) } x \frac { 50 \text { pieces } } { 1 \text { box } }$$

Aromātai

$$2062500x$$

Ngā Hipanga Rongoā Poto

Me whakakore tahi te 1 i te taurunga me te tauraro.

$$\frac{330ton\times \frac{1000kg}{ton}}{160g\times \frac{1kg}{1000g}}x$$

Tuhia te 330\times \frac{1000kg}{ton} hei hautanga kotahi.

$$\frac{\frac{330\times 1000kg}{ton}ton}{160g\times \frac{1kg}{1000g}}x$$

Me whakakore tahi te g i te taurunga me te tauraro.

$$\frac{\frac{330\times 1000kg}{ton}ton}{160g\times \frac{k}{1000}}x$$

Tuhia te 160\times \frac{k}{1000} hei hautanga kotahi.

$$\frac{\frac{330\times 1000kg}{ton}ton}{\frac{160k}{1000}g}x$$

Whakareatia te 330 ki te 1000, ka 330000.

$$\frac{\frac{330000kg}{ton}ton}{\frac{160k}{1000}g}x$$

Tuhia te \frac{330000kg}{ton}t hei hautanga kotahi.

$$\frac{\frac{330000kgt}{ton}on}{\frac{160k}{1000}g}x$$

Me whakakore tahi te t i te taurunga me te tauraro.

$$\frac{\frac{330000gk}{no}on}{\frac{160k}{1000}g}x$$

Tuhia te \frac{330000gk}{no}o hei hautanga kotahi.

$$\frac{\frac{330000gko}{no}n}{\frac{160k}{1000}g}x$$

Me whakakore tahi te o i te taurunga me te tauraro.

$$\frac{\frac{330000gk}{n}n}{\frac{160k}{1000}g}x$$

Me whakakore te n me te n.

$$\frac{330000gk}{\frac{160k}{1000}g}x$$

Whakawehea te 160k ki te 1000, kia riro ko \frac{4}{25}k.

$$\frac{330000gk}{\frac{4}{25}kg}x$$

Me whakakore tahi te gk i te taurunga me te tauraro.

$$\frac{330000}{\frac{4}{25}}x$$

Whakawehe 330000 ki te \frac{4}{25} mā te whakarea 330000 ki te tau huripoki o \frac{4}{25}.

$$330000\times \frac{25}{4}x$$

Tuhia te 330000\times \frac{25}{4} hei hautanga kotahi.

$$\frac{330000\times 25}{4}x$$

Whakareatia te 330000 ki te 25, ka 8250000.

$$\frac{8250000}{4}x$$

Whakawehea te 8250000 ki te 4, kia riro ko 2062500.

$$2062500x$$

Kimi Pārōnaki e ai ki x

$$2062500$$

Ngā Upane e Whakamahi ana i te Tautuhinga o te Pārōnaki

Me whakakore tahi te 1 i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{330ton\times \frac{1000kg}{ton}}{160g\times \frac{1kg}{1000g}}x)$$

Tuhia te 330\times \frac{1000kg}{ton} hei hautanga kotahi.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{330\times 1000kg}{ton}ton}{160g\times \frac{1kg}{1000g}}x)$$

Me whakakore tahi te g i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{330\times 1000kg}{ton}ton}{160g\times \frac{k}{1000}}x)$$

Tuhia te 160\times \frac{k}{1000} hei hautanga kotahi.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{330\times 1000kg}{ton}ton}{\frac{160k}{1000}g}x)$$

Whakareatia te 330 ki te 1000, ka 330000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{330000kg}{ton}ton}{\frac{160k}{1000}g}x)$$

Tuhia te \frac{330000kg}{ton}t hei hautanga kotahi.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{330000kgt}{ton}on}{\frac{160k}{1000}g}x)$$

Me whakakore tahi te t i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{330000gk}{no}on}{\frac{160k}{1000}g}x)$$

Tuhia te \frac{330000gk}{no}o hei hautanga kotahi.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{330000gko}{no}n}{\frac{160k}{1000}g}x)$$

Me whakakore tahi te o i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\frac{330000gk}{n}n}{\frac{160k}{1000}g}x)$$

Me whakakore te n me te n.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{330000gk}{\frac{160k}{1000}g}x)$$

Whakawehea te 160k ki te 1000, kia riro ko \frac{4}{25}k.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{330000gk}{\frac{4}{25}kg}x)$$

Me whakakore tahi te gk i te taurunga me te tauraro.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{330000}{\frac{4}{25}}x)$$

Whakawehe 330000 ki te \frac{4}{25} mā te whakarea 330000 ki te tau huripoki o \frac{4}{25}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(330000\times \frac{25}{4}x)$$

Tuhia te 330000\times \frac{25}{4} hei hautanga kotahi.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{330000\times 25}{4}x)$$

Whakareatia te 330000 ki te 25, ka 8250000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8250000}{4}x)$$

Whakawehea te 8250000 ki te 4, kia riro ko 2062500.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2062500x)$$

Ko te pārōnaki o ax^{n} ko nax^{n-1}.

$$2062500x^{1-1}$$

Tango 1 mai i 1.

$$2062500x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$2062500\times 1$$

Mō tētahi kupu t, t\times 1=t me 1t=t.

$$2062500$$