Math, asked by PG1173, 1 year ago

how to do both these questions

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Answered by lekhahasa
2
[2ⁿ⁺⁴-2(2ⁿ)]/[2(2ⁿ⁺³)=(2ⁿ⁺⁴-2ⁿ⁺¹)/2ⁿ⁺⁴         [∵mᵃ×mᵇ=mᵃ⁺ᵇ]
                              =[(2ⁿ⁺⁴/2ⁿ⁺⁴)-(2ⁿ⁺¹/2ⁿ⁺⁴)]
                              =1-2⁽ⁿ⁺⁴⁾⁻⁽ⁿ⁺¹⁾              [∵mᵃ/mᵇ=mᵇ⁻ᵃ  when,b∠a]
                              =1-2³
                              =1-8
                              =-7

    (a+1/a)²=3
⇒a+1/a=√3
cubing on both sides
⇒(a+1/a)³=(√3)³
⇒a³+1/a³+3×a×1/a×(a+1/a)=3√3
⇒a³+1/a³+3(a+1/a)=3√3
⇒a³+1/a³+3√3=3√3
⇒a³+1/a³=0


PG1173: thx bro....it is difficult to understand this in this way.....can u pls write it in page and send a picture of it???
lekhahasa: sorry
lekhahasa: which step haven't you understand
PG1173: the whole answer if the first question
PG1173: *of
lekhahasa: just i used the formula a to the power m x a to the power n = a to the power m+n.
PG1173: okay.....thank you
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