Lutasin ang G199*10^30/459*10^10

$$G \frac { 199 \times 10 ^ { 30 } } { 459 \times 10 ^ { 10 } }$$

I-evaluate

$$\frac{19900000000000000000000G}{459}$$

Mga Hakbang ng Solution

I-cancel out ang 10^{10} sa parehong numerator at denominator.

$$G\times \frac{199\times 10^{20}}{459}$$

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

$$G\times \frac{199\times 100000000000000000000}{459}$$

I-multiply ang 199 at 100000000000000000000 para makuha ang 19900000000000000000000.

$$G\times \frac{19900000000000000000000}{459}$$

I-differentiate ang w.r.t. G

$$\frac{19900000000000000000000}{459} = 4.335511982570806 \times 10^{19}\frac{302}{459} = 4.335511982570806 \times 10^{19}$$

Mga Hakbang sa Paggamit ng Definition of a Derivative

I-cancel out ang 10^{10} sa parehong numerator at denominator.

$$\frac{\mathrm{d}}{\mathrm{d}G}(G\times \frac{199\times 10^{20}}{459})$$

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

$$\frac{\mathrm{d}}{\mathrm{d}G}(G\times \frac{199\times 100000000000000000000}{459})$$

I-multiply ang 199 at 100000000000000000000 para makuha ang 19900000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}G}(G\times \frac{19900000000000000000000}{459})$$

Ang derivative ng ax^{n} ay nax^{n-1}.

$$\frac{19900000000000000000000}{459}G^{1-1}$$

I-subtract ang 1 mula sa 1.

$$\frac{19900000000000000000000}{459}G^{0}$$

Para sa anumang term na t maliban sa 0, t^{0}=1.

$$\frac{19900000000000000000000}{459}\times 1$$

Para sa anumang term na t, t\times 1=t at 1t=t.

$$\frac{19900000000000000000000}{459}$$