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

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

Meta

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

Lausnarskref

Reiknaðu 0.000009 í 4. veldi og fáðu 0.000000000000000000006561.

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

Reiknaðu 0.0000009 í 5. veldi og fáðu 0.00000000000000000000000000000059049.

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

Leggðu saman 0.000000000000000000006561 og 0.00000000000000000000000000000059049 til að fá 0.00000000000000000000656100000059049.

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

Reiknaðu 47000 í 4. veldi og fáðu 4879681000000000000.

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

Margfaldaðu 4879681000000000000 og 9100000 til að fá út 44405097100000000000000000.

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

Reiknaðu 0.0000006 í 4. veldi og fáðu 0.0000000000000000000000001296.

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

Margfaldaðu 44405097100000000000000000 og 0.0000000000000000000000001296 til að fá út 5.75490058416.

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

Leystu upp \frac{0.00000000000000000000656100000059049}{5.75490058416} með því að margfalda bæði teljara og nefnara með 100000000000000000000000000000000000.

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

Minnka brotið \frac{656100000059049}{575490058416000000000000000000000000} eins mikið og hægt er með því að draga og stytta út 7371.

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

Stuðull

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