Whakaoti i te 10(10^-5)-log_{10}(1000)*log_{10}(5^2*4)

$$10 ( 10 ^ { - 5 } ) - \log _ { 10 } ( 1000 ) * \log _ { 10 } ( 5 ^ { 2 } * 4 )$$

Aromātai

$$-\frac{59999}{10000}=-5.9999$$

Ngā Upane Otinga

Hei whakarea i ngā pū o te pūtake kotahi, me tāpiri ō rātou taupū. Tāpiria te 1 me te -5 kia riro ai te -4.

$$10^{-4}-\log_{10}\left(1000\right)\log_{10}\left(5^{2}\times 4\right)$$

Tātaihia te 10 mā te pū o -4, kia riro ko \frac{1}{10000}.

$$\frac{1}{10000}-\log_{10}\left(1000\right)\log_{10}\left(5^{2}\times 4\right)$$

Ko te taupū kōaro 10 pūtake o 1000 ko 3.

$$\frac{1}{10000}-3\log_{10}\left(5^{2}\times 4\right)$$

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$\frac{1}{10000}-3\log_{10}\left(25\times 4\right)$$

Whakareatia te 25 ki te 4, ka 100.

$$\frac{1}{10000}-3\log_{10}\left(100\right)$$

Ko te taupū kōaro 10 pūtake o 100 ko 2.

$$\frac{1}{10000}-3\times 2$$

Whakareatia te 3 ki te 2, ka 6.

$$\frac{1}{10000}-6$$

Tangohia te 6 i te \frac{1}{10000}, ka -\frac{59999}{10000}.

$$-\frac{59999}{10000}$$

Tauwehe

$$-\frac{59999}{10000} = -5\frac{9999}{10000} = -5.9999$$