Løs 663*10^-34*3*10^8/300*10^-9

$$663 \times { 10 }^{ -34 } \times 3 \times \frac{ { 10 }^{ 8 } }{ 300 \times { 10 }^{ -9 } }$$

Evaluer

$$\frac{663}{10000000000000000000}=6,63 \cdot 10^{-17}$$

Løsningstrinn

Regn ut 10 opphøyd i -34 og få \frac{1}{10000000000000000000000000000000000}.

$$663\times \frac{1}{10000000000000000000000000000000000}\times 3\times \frac{10^{8}}{300\times 10^{-9}}$$

Multipliser 663 med \frac{1}{10000000000000000000000000000000000} for å få \frac{663}{10000000000000000000000000000000000}.

$$\frac{663}{10000000000000000000000000000000000}\times 3\times \frac{10^{8}}{300\times 10^{-9}}$$

Multipliser \frac{663}{10000000000000000000000000000000000} med 3 for å få \frac{1989}{10000000000000000000000000000000000}.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{10^{8}}{300\times 10^{-9}}$$

Hvis du vil dele potensen av samme grunntall, trekker du nevnerens eksponent fra tellerens eksponent.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{10^{17}}{300}$$

Regn ut 10 opphøyd i 17 og få 100000000000000000.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{100000000000000000}{300}$$

Forkort brøken \frac{100000000000000000}{300} til minste felles nevner ved å dele teller og nevner på 100.

$$\frac{1989}{10000000000000000000000000000000000}\times \frac{1000000000000000}{3}$$

Multipliser \frac{1989}{10000000000000000000000000000000000} med \frac{1000000000000000}{3} for å få \frac{663}{10000000000000000000}.

$$\frac{663}{10000000000000000000}$$

Faktoriser

$$\frac{3 \cdot 13 \cdot 17}{2 ^ {19} \cdot 5 ^ {19}} = 6,63 \times 10^{-17}$$