Pertanyaan

Jika n memenuhi 2 5 0.25 × 2 5 0.25 × 2 5 0.25 × ... × 2 5 0.25 n faktor = 125 , maka ( n − 3 ) ( n + 2 ) = ...

Jika n memenuhi $2 5^{0.25} \times 2 5^{0.25} \times 2 5^{0.25} \times ... \times 2 5^{0.25} n faktor = 125,$ maka $(n - 3) (n + 2) = ...$

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Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table row space row cell stack 25 to the power of 0.25 end exponent cross times 25 to the power of 0.25 end exponent cross times 25 to the power of 0.25 end exponent cross times... cross times 25 to the power of 0.25 end exponent with underbrace below end cell row cell n italic space faktor end cell end table equals 125 open parentheses 25 to the power of 0.25 end exponent close parentheses to the power of n equals 5 cubed open parentheses open parentheses 5 squared close parentheses to the power of 0.25 end exponent close parentheses to the power of n equals 5 cubed 5 to the power of 0.5 n end exponent equals 5 cubed 0 comma 5 n equals 3 n equals fraction numerator 3 over denominator 0 comma 5 end fraction n equals 6 M a k a space colon space open parentheses n minus 3 close parentheses open parentheses n plus 2 close parentheses equals open parentheses 6 minus 3 close parentheses open parentheses 6 plus 2 close parentheses equals 24 end style$