Løs 663*10^-34*3*10^8/6*10^-7

$$663 \times 10 ^ { - 34 } \times \frac { 3 \times 10 ^ { 8 } } { 6 \times 10 ^ { - 7 } }$$

Evaluer

$$\frac{663}{20000000000000000000}=3,315 \cdot 10^{-17}$$

Løsningsvejledning

Beregn 10 til potensen af -34, og få \frac{1}{10000000000000000000000000000000000}.

$$663\times \frac{1}{10000000000000000000000000000000000}\times \frac{3\times 10^{8}}{6\times 10^{-7}}$$

Multiplicer 663 og \frac{1}{10000000000000000000000000000000000} for at få \frac{663}{10000000000000000000000000000000000}.

$$\frac{663}{10000000000000000000000000000000000}\times \frac{3\times 10^{8}}{6\times 10^{-7}}$$

Udlign 3 i både tælleren og nævneren.

$$\frac{663}{10000000000000000000000000000000000}\times \frac{10^{8}}{2\times 10^{-7}}$$

Hvis du vil dividere potenserne for samme base, skal du subtrahere nævnerens eksponent fra tællerens eksponent.

$$\frac{663}{10000000000000000000000000000000000}\times \frac{10^{15}}{2}$$

Beregn 10 til potensen af 15, og få 1000000000000000.

$$\frac{663}{10000000000000000000000000000000000}\times \frac{1000000000000000}{2}$$

Divider 1000000000000000 med 2 for at få 500000000000000.

$$\frac{663}{10000000000000000000000000000000000}\times 500000000000000$$

Multiplicer \frac{663}{10000000000000000000000000000000000} og 500000000000000 for at få \frac{663}{20000000000000000000}.

$$\frac{663}{20000000000000000000}$$

Faktoriser

$$\frac{3 \cdot 13 \cdot 17}{2 ^ {20} \cdot 5 ^ {19}} = 3,315 \times 10^{-17}$$