Tentukan nilai 6911−26912−6911−136

Pertanyaan

Tentukan nilai $\frac{69^{12}-69^{11}-136}{69^{11}-2}$

Pembahasan Soal:

Sifat bilangan berpangkat di antaranya sebagai berikut.

$a to the power of m times a to the power of n equals a to the power of m plus n end exponent$

Penyelesaian soal di atas adalah sebagai berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 69 to the power of 12 minus 69 to the power of 11 minus 136 over denominator 69 to the power of 11 minus 2 end fraction end cell equals cell fraction numerator open parentheses 69 to the power of 11 times 69 minus 69 to the power of 11 close parentheses minus 2 times 68 over denominator 69 to the power of 11 minus 2 end fraction end cell row blank equals cell fraction numerator 69 to the power of 11 open parentheses 69 minus 1 close parentheses minus 2 open parentheses 69 minus 1 close parentheses over denominator 69 to the power of 11 minus 2 end fraction end cell row blank equals cell fraction numerator open parentheses 69 to the power of 11 minus 2 close parentheses open parentheses 69 minus 1 close parentheses over denominator open parentheses 69 to the power of 11 minus 2 close parentheses end fraction end cell row blank equals cell 69 minus 1 end cell row blank equals 68 end table$

Dengan demikian, nilai dari $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 69 to the power of 12 minus 69 to the power of 11 minus 136 over denominator 69 to the power of 11 minus 2 end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 68 end table$

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

H. Eka

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Terakhir diupdate 06 Oktober 2021