Question

va rog, ajutati-ma! dau coroana!!​

Answer 1

Răspuns:

    7) 1

    8) 24

    9) $2^{1035}$

    10) 1

Explicație pas cu pas:

    7) $125^{42}$ ÷ $25^{63}$ =

    $(5^{3})^{42}$ ÷ $(5^{2})^{63}$ =

    $5^{126}$ ÷ $5^{126}$ = 1

    8) ($8^{37}$ × $81^{25}$) ÷ ($16^{27}$ × $33^{27}$) =

    $\frac{8^{37}*81^{25}}{16^{27}*27^{33}}$ =

    $\frac{2^{111}*3^{100}}{2^{108}*3^{99}}$ =

    $2^{3} * 3$ =

    8 * 3 = 24

    9) $2^{1} *2^{2}*2^{3}*2^{4}*...*2^{45}$

    $2^{1+2+3+4+...+45)$ =

    $2^{45+46 : 2}$ =

    $2^{(45*23)}$ = $2^{1035}$

    10) $(1+5^{10}) : (1+5^{10})$ = 1