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

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

Vlerëso

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

Hapat e zgjidhjes

Llogarit 0.000009 në fuqi të 4 dhe merr 0.000000000000000000006561.

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

Llogarit 0.0000009 në fuqi të 5 dhe merr 0.00000000000000000000000000000059049.

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

Shto 0.000000000000000000006561 dhe 0.00000000000000000000000000000059049 për të marrë 0.00000000000000000000656100000059049.

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

Llogarit 47000 në fuqi të 4 dhe merr 4879681000000000000.

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

Shumëzo 4879681000000000000 me 9100000 për të marrë 44405097100000000000000000.

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

Llogarit 0.0000006 në fuqi të 4 dhe merr 0.0000000000000000000000001296.

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

Shumëzo 44405097100000000000000000 me 0.0000000000000000000000001296 për të marrë 5.75490058416.

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

Zhvillo \frac{0.00000000000000000000656100000059049}{5.75490058416} duke shumëzuar si numëruesin ashtu dhe emëruesin me 100000000000000000000000000000000000.

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

Thjeshto thyesën \frac{656100000059049}{575490058416000000000000000000000000} në kufizat më të vogla duke zbritur dhe thjeshtuar 7371.

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

Faktorizo

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