Lutasin ang (0.000009)^4+(0.0000009)^5/(47000)^4(9100000)(0.0000006)^4

$$\frac { ( 0.000009 ) ^ { 4 } + ( 0.0000009 ) ^ { 5 } } { ( 47000 ) ^ { 4 } ( 9100000 ) ( 0.0000006 ) ^ { 4 } }$$

I-evaluate

$$\frac{89010989019}{78074896000000000000000000000000}\approx 1.140071823 \cdot 10^{-21}$$

Mga Hakbang ng Solution

Kalkulahin ang 0.000009 sa power ng 4 at kunin ang 0.000000000000000000006561.

$$\frac{0.000000000000000000006561+0.0000009^{5}}{47000^{4}\times 9100000\times 0.0000006^{4}}$$

Kalkulahin ang 0.0000009 sa power ng 5 at kunin ang 0.00000000000000000000000000000059049.

$$\frac{0.000000000000000000006561+0.00000000000000000000000000000059049}{47000^{4}\times 9100000\times 0.0000006^{4}}$$

Idagdag ang 0.000000000000000000006561 at 0.00000000000000000000000000000059049 para makuha ang 0.00000000000000000000656100000059049.

$$\frac{0.00000000000000000000656100000059049}{47000^{4}\times 9100000\times 0.0000006^{4}}$$

Kalkulahin ang 47000 sa power ng 4 at kunin ang 4879681000000000000.

$$\frac{0.00000000000000000000656100000059049}{4879681000000000000\times 9100000\times 0.0000006^{4}}$$

I-multiply ang 4879681000000000000 at 9100000 para makuha ang 44405097100000000000000000.

$$\frac{0.00000000000000000000656100000059049}{44405097100000000000000000\times 0.0000006^{4}}$$

Kalkulahin ang 0.0000006 sa power ng 4 at kunin ang 0.0000000000000000000000001296.

$$\frac{0.00000000000000000000656100000059049}{44405097100000000000000000\times 0.0000000000000000000000001296}$$

I-multiply ang 44405097100000000000000000 at 0.0000000000000000000000001296 para makuha ang 5.75490058416.

$$\frac{0.00000000000000000000656100000059049}{5.75490058416}$$

I-expand ang \frac{0.00000000000000000000656100000059049}{5.75490058416} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 100000000000000000000000000000000000.

$$\frac{656100000059049}{575490058416000000000000000000000000}$$

Bawasan ang fraction \frac{656100000059049}{575490058416000000000000000000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 7371.

$$\frac{89010989019}{78074896000000000000000000000000}$$

I-factor

$$\frac{53 \cdot 1979 \cdot 10477 \cdot 3 ^ {4}}{2 ^ {28} \cdot 5 ^ {24} \cdot 47 ^ {4}} = 1.140071823073578 \times 10^{-21}$$