Løs 663*10^-34*3*10^8/515*16^-19

$$\frac{ 663 \times { 10 }^{ -34 } \times 3 \times { 10 }^{ 8 } }{ 515 \times { 16 }^{ -19 } }$$

Evaluer

$$\frac{2239414914709979136}{767409801483154296875}\approx 0,002918147$$

Løsningsvejledning

Hvis du vil gange potenser for den samme base, skal du tilføje deres eksponenter. Tilføj -34 og 8 for at få -26.

$$\frac{663\times 10^{-26}\times 3}{515\times 16^{-19}}$$

Beregn 10 til potensen af -26, og få \frac{1}{100000000000000000000000000}.

$$\frac{663\times \frac{1}{100000000000000000000000000}\times 3}{515\times 16^{-19}}$$

Multiplicer 663 og \frac{1}{100000000000000000000000000} for at få \frac{663}{100000000000000000000000000}.

$$\frac{\frac{663}{100000000000000000000000000}\times 3}{515\times 16^{-19}}$$

Multiplicer \frac{663}{100000000000000000000000000} og 3 for at få \frac{1989}{100000000000000000000000000}.

$$\frac{\frac{1989}{100000000000000000000000000}}{515\times 16^{-19}}$$

Beregn 16 til potensen af -19, og få \frac{1}{75557863725914323419136}.

$$\frac{\frac{1989}{100000000000000000000000000}}{515\times \frac{1}{75557863725914323419136}}$$

Multiplicer 515 og \frac{1}{75557863725914323419136} for at få \frac{515}{75557863725914323419136}.

$$\frac{\frac{1989}{100000000000000000000000000}}{\frac{515}{75557863725914323419136}}$$

Divider \frac{1989}{100000000000000000000000000} med \frac{515}{75557863725914323419136} ved at multiplicere \frac{1989}{100000000000000000000000000} med den reciprokke værdi af \frac{515}{75557863725914323419136}.

$$\frac{1989}{100000000000000000000000000}\times \frac{75557863725914323419136}{515}$$

Multiplicer \frac{1989}{100000000000000000000000000} og \frac{75557863725914323419136}{515} for at få \frac{2239414914709979136}{767409801483154296875}.

$$\frac{2239414914709979136}{767409801483154296875}$$

Faktoriser

$$\frac{2 ^ {50} \cdot 3 ^ {2} \cdot 13 \cdot 17}{5 ^ {27} \cdot 103} = 0,0029181473971037586$$