Issolvi d/d2(2^3/2-2^7/7)=

$$\frac { d } { d 2 } ( \frac { 2 ^ { 3 } } { 2 } - \frac { 2 ^ { 7 } } { 7 } ) =$$

Evalwa

$$-\frac{100d}{7d_{2}}$$

Passi tas-Soluzzjonijiet

Biex tiddividi l-qawwa tal-istess bażi, naqqas l-esponent tad-denominatur mill-esponent tan-numeratur. Naqas 1 minn 3 biex tikseb 2.

$$\frac{d}{d_{2}}\left(2^{2}-\frac{2^{7}}{7}\right)$$

Ikkalkula 2 bil-power ta' 2 u tikseb 4.

$$\frac{d}{d_{2}}\left(4-\frac{2^{7}}{7}\right)$$

Ikkalkula 2 bil-power ta' 7 u tikseb 128.

$$\frac{d}{d_{2}}\left(4-\frac{128}{7}\right)$$

Ikkonverti 4 fi frazzjoni \frac{28}{7}.

$$\frac{d}{d_{2}}\left(\frac{28}{7}-\frac{128}{7}\right)$$

Billi \frac{28}{7} u \frac{128}{7} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{d}{d_{2}}\times \frac{28-128}{7}$$

Naqqas 128 minn 28 biex tikseb -100.

$$\frac{d}{d_{2}}\left(-\frac{100}{7}\right)$$

Immultiplika \frac{d}{d_{2}} b'-\frac{100}{7} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{-d\times 100}{d_{2}\times 7}$$

Immultiplika -1 u 100 biex tikseb -100.

$$\frac{-100d}{d_{2}\times 7}$$

Espandi

$$-\frac{100d}{7d_{2}}$$

Passi tas-Soluzzjonijiet

Biex tiddividi l-qawwa tal-istess bażi, naqqas l-esponent tad-denominatur mill-esponent tan-numeratur. Naqas 1 minn 3 biex tikseb 2.

$$\frac{d}{d_{2}}\left(2^{2}-\frac{2^{7}}{7}\right)$$

Ikkalkula 2 bil-power ta' 2 u tikseb 4.

$$\frac{d}{d_{2}}\left(4-\frac{2^{7}}{7}\right)$$

Ikkalkula 2 bil-power ta' 7 u tikseb 128.

$$\frac{d}{d_{2}}\left(4-\frac{128}{7}\right)$$

Ikkonverti 4 fi frazzjoni \frac{28}{7}.

$$\frac{d}{d_{2}}\left(\frac{28}{7}-\frac{128}{7}\right)$$

Billi \frac{28}{7} u \frac{128}{7} għandhom l-istess denominatur, naqqashom billi tnaqqas in-numeraturi tagħhom.

$$\frac{d}{d_{2}}\times \frac{28-128}{7}$$

Naqqas 128 minn 28 biex tikseb -100.

$$\frac{d}{d_{2}}\left(-\frac{100}{7}\right)$$

Immultiplika \frac{d}{d_{2}} b'-\frac{100}{7} billi timmultiplika n-numeratur bin-numeratur u d-denominatur bid-denominatur.

$$\frac{-d\times 100}{d_{2}\times 7}$$

Immultiplika -1 u 100 biex tikseb -100.

$$\frac{-100d}{d_{2}\times 7}$$