2-a-50-find-2-2a-2-soon-as-soon-solve-this-i-need-so-

Question Number 195521 by bbbbbbbb last updated on 04/Aug/23

$$\mathrm{2}^{\boldsymbol{\mathrm{a}}} =\mathrm{50}\:\:\:\:\boldsymbol{\mathrm{find}}\:\mathrm{2}^{\mathrm{2}\boldsymbol{\mathrm{a}}−\mathrm{2}} =? \\ $$$$\boldsymbol{\mathrm{soon}}\:\boldsymbol{\mathrm{as}}\:\boldsymbol{\mathrm{soon}}\:\boldsymbol{\mathrm{solve}}\:\boldsymbol{\mathrm{this}}\:\boldsymbol{\mathrm{i}}\:\boldsymbol{\mathrm{need}}\:\boldsymbol{\mathrm{so}} \\ $$

Answered by Calculusboy last updated on 04/Aug/23

$$\mathrm{625} \\ $$

Commented by bbbbbbbb last updated on 04/Aug/23

$$\boldsymbol{\mathrm{think}}\:\boldsymbol{\mathrm{you}}\:\boldsymbol{\mathrm{sir}} \\ $$

Answered by Rasheed.Sindhi last updated on 04/Aug/23

2^a =50 (2^a /2)=((50)/2) 2^(a−1) =25 (2^(a−1) )^2 =(25)^2 2^(2a−2) =625

$$\mathrm{2}^{{a}} =\mathrm{50} \\ $$$$\frac{\mathrm{2}^{{a}} }{\mathrm{2}}=\frac{\mathrm{50}}{\mathrm{2}} \\ $$$$\mathrm{2}^{{a}−\mathrm{1}} =\mathrm{25} \\ $$$$\left(\mathrm{2}^{{a}−\mathrm{1}} \right)^{\mathrm{2}} =\left(\mathrm{25}\right)^{\mathrm{2}} \\ $$$$\mathrm{2}^{\mathrm{2}{a}−\mathrm{2}} =\mathrm{625} \\ $$

Commented by mr W last updated on 11/Aug/23