Pertanyaan

Nyatakan dalam bentuk yang paling sederhana. m 3 × m − 12 m 4 × m 7 × m − 10

Nyatakan dalam bentuk yang paling sederhana.

$\frac{m ^{4} \times m ^{7} \times m ^{- 10}}{m ^{3} \times m ^{- 12}}$

A. Hadiannur

Master Teacher

Mahasiswa/Alumni Universitas Gadjah Mada

Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah .

bentuk sederhana dari $fraction numerator m to the power of 4 cross times m to the power of 7 cross times m to the power of negative 10 end exponent over denominator m cubed cross times m to the power of negative 12 end exponent end fraction$ adalah m to the power of 10

Pembahasan

Ingat sifat bilangan berpangkat . Berdasarkan sifat tersebut, maka diperoleh hasil Jadi, bentuk sederhana dari adalah .

Ingat sifat bilangan berpangkat a to the power of m cross times a to the power of n equals a to the power of m plus n end exponent comma space a to the power of m divided by a to the power of n equals a to the power of m minus n end exponent space space text dan end text space a to the power of negative m end exponent equals 1 over a to the power of m .

Berdasarkan sifat tersebut, maka diperoleh hasil

$fraction numerator m to the power of 4 cross times m to the power of 7 cross times m to the power of negative 10 end exponent over denominator m cubed cross times m to the power of negative 12 end exponent end fraction equals m to the power of 4 plus 7 minus 10 end exponent over m to the power of 3 minus 12 end exponent equals m to the power of 1 over m to the power of negative 9 end exponent equals fraction numerator m over denominator 1 over m to the power of 9 end fraction equals m times m to the power of 9 equals m to the power of 1 plus 9 end exponent equals m to the power of 10$

Jadi, bentuk sederhana dari $fraction numerator m to the power of 4 cross times m to the power of 7 cross times m to the power of negative 10 end exponent over denominator m cubed cross times m to the power of negative 12 end exponent end fraction$ adalah m to the power of 10 .