Lutasin ang 6.63*10^-34*3*10^8/0.42*10^-6-1.6*10^-19*0.75

$$\frac { 6.63 \cdot 10 ^ { - 34 } \cdot 3 \cdot 10 ^ { 8 } } { 0.42 \cdot 10 ^ { - 6 } } - 1.6 \cdot 10 ^ { - 19 } \cdot 0.75$$

I-evaluate

$$\frac{99}{280000000000000000000}\approx 3.535714286 \cdot 10^{-19}$$

Mga Hakbang ng Solution

Para mag-multiply ng mga power na may parehong base, i-add ang mga exponent ng mga ito. I-add ang -34 at 8 para makuha ang -26.

$$\frac{6.63\times 10^{-26}\times 3}{0.42\times 10^{-6}}-1.6\times 10^{-19}\times 0.75$$

Para magi-divide ng mga power na may parehong base, i-subtract ang exponent ng denominator mula sa exponent ng numerator.

$$\frac{3\times 6.63}{0.42\times 10^{20}}-1.6\times 10^{-19}\times 0.75$$

I-multiply ang 3 at 6.63 para makuha ang 19.89.

$$\frac{19.89}{0.42\times 10^{20}}-1.6\times 10^{-19}\times 0.75$$

Kalkulahin ang 10 sa power ng 20 at kunin ang 100000000000000000000.

$$\frac{19.89}{0.42\times 100000000000000000000}-1.6\times 10^{-19}\times 0.75$$

I-multiply ang 0.42 at 100000000000000000000 para makuha ang 42000000000000000000.

$$\frac{19.89}{42000000000000000000}-1.6\times 10^{-19}\times 0.75$$

I-expand ang \frac{19.89}{42000000000000000000} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 100.

$$\frac{1989}{4200000000000000000000}-1.6\times 10^{-19}\times 0.75$$

Bawasan ang fraction \frac{1989}{4200000000000000000000} sa pinakamabababang term sa pamamagitan ng pag-extract at pag-cancel out sa 3.

$$\frac{663}{1400000000000000000000}-1.6\times 10^{-19}\times 0.75$$

Kalkulahin ang 10 sa power ng -19 at kunin ang \frac{1}{10000000000000000000}.

$$\frac{663}{1400000000000000000000}-1.6\times \frac{1}{10000000000000000000}\times 0.75$$

I-multiply ang 1.6 at \frac{1}{10000000000000000000} para makuha ang \frac{1}{6250000000000000000}.

$$\frac{663}{1400000000000000000000}-\frac{1}{6250000000000000000}\times 0.75$$

I-multiply ang \frac{1}{6250000000000000000} at 0.75 para makuha ang \frac{3}{25000000000000000000}.

$$\frac{663}{1400000000000000000000}-\frac{3}{25000000000000000000}$$

I-subtract ang \frac{3}{25000000000000000000} mula sa \frac{663}{1400000000000000000000} para makuha ang \frac{99}{280000000000000000000}.

$$\frac{99}{280000000000000000000}$$

I-factor

$$\frac{11 \cdot 3 ^ {2}}{7 \cdot 2 ^ {21} \cdot 5 ^ {19}} = 3.5357142857142856 \times 10^{-19}$$