Løs 1/266410^-27left(60310^4right)^2

$$\frac{ 1 }{ 2 } 664 { 10 }^{ -27 } { \left(603 { 10 }^{ 4 } \right) }^{ 2 }$$

Evaluer

$$\frac{30179547}{2500000000000000000}=1,20718188 \cdot 10^{-11}$$

Løsningsvejledning

Multiplicer \frac{1}{2} og 664 for at få 332.

$$332\times 10^{-27}\times \left(603\times 10^{4}\right)^{2}$$

Beregn 10 til potensen af -27, og få \frac{1}{1000000000000000000000000000}.

$$332\times \frac{1}{1000000000000000000000000000}\times \left(603\times 10^{4}\right)^{2}$$

Multiplicer 332 og \frac{1}{1000000000000000000000000000} for at få \frac{83}{250000000000000000000000000}.

$$\frac{83}{250000000000000000000000000}\times \left(603\times 10^{4}\right)^{2}$$

Beregn 10 til potensen af 4, og få 10000.

$$\frac{83}{250000000000000000000000000}\times \left(603\times 10000\right)^{2}$$

Multiplicer 603 og 10000 for at få 6030000.

$$\frac{83}{250000000000000000000000000}\times 6030000^{2}$$

Beregn 6030000 til potensen af 2, og få 36360900000000.

$$\frac{83}{250000000000000000000000000}\times 36360900000000$$

Multiplicer \frac{83}{250000000000000000000000000} og 36360900000000 for at få \frac{30179547}{2500000000000000000}.

$$\frac{30179547}{2500000000000000000}$$

Faktoriser

$$\frac{3 ^ {4} \cdot 67 ^ {2} \cdot 83}{2 ^ {17} \cdot 5 ^ {19}} = 1,20718188 \times 10^{-11}$$