Lutasin ang (0.01)^5(0.1)^39/(0.0001)^6(0.001)^10

$$\frac { ( 0.01 ) ^ { 5 } ( 0.1 ) ^ { 39 } } { ( 0.0001 ) ^ { 6 } ( 0.001 ) ^ { 10 } }$$

I-evaluate

$$100000$$

Mga Hakbang ng Solution

Kalkulahin ang 0.01 sa power ng 5 at kunin ang 0.0000000001.

$$\frac{0.0000000001\times 0.1^{39}}{0.0001^{6}\times 0.001^{10}}$$

Kalkulahin ang 0.1 sa power ng 39 at kunin ang 0.000000000000000000000000000000000000001.

$$\frac{0.0000000001\times 0.000000000000000000000000000000000000001}{0.0001^{6}\times 0.001^{10}}$$

I-multiply ang 0.0000000001 at 0.000000000000000000000000000000000000001 para makuha ang 0.0000000000000000000000000000000000000000000000001.

$$\frac{0.0000000000000000000000000000000000000000000000001}{0.0001^{6}\times 0.001^{10}}$$

Kalkulahin ang 0.0001 sa power ng 6 at kunin ang 0.000000000000000000000001.

$$\frac{0.0000000000000000000000000000000000000000000000001}{0.000000000000000000000001\times 0.001^{10}}$$

Kalkulahin ang 0.001 sa power ng 10 at kunin ang 0.000000000000000000000000000001.

$$\frac{0.0000000000000000000000000000000000000000000000001}{0.000000000000000000000001\times 0.000000000000000000000000000001}$$

I-multiply ang 0.000000000000000000000001 at 0.000000000000000000000000000001 para makuha ang 0.000000000000000000000000000000000000000000000000000001.

$$\frac{0.0000000000000000000000000000000000000000000000001}{0.000000000000000000000000000000000000000000000000000001}$$

I-expand ang \frac{0.0000000000000000000000000000000000000000000000001}{0.000000000000000000000000000000000000000000000000000001} sa pamamagitan ng pag-multiply sa parehong numerator at denominator ng 1000000000000000000000000000000000000000000000000000000. Ang anumang numero na idi-divide sa isa, ang sagot ay ang numerong ito pa rin.

$$100000$$

I-factor

$$2^{5}\times 5^{5}$$