Pertanyaan

Jika ( b a ) 4 = 625 256 dan , maka nilai a b + x y = ....

Jika $(\frac{a}{b})^{4} = \frac{256}{625}$ dan $\left(\frac{\style{font-size:14px}x}{\style{font-size:14px}y}\right)^\style{font-size:14px}5\style{font-size:14px}=\frac{\style{font-size:14px}{243}}{\style{font-size:14px}{32}}$ , maka nilai $\frac{b}{a} + \frac{y}{x} = ....$

A. Nadhira

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Perhatikan bahwa Maka Jadi, dapat kita simpulkan bahwa Sehingga

Perhatikan bahwa

begin mathsize 14px style 256 equals 4 cross times 4 cross times 4 cross times 4 equals 4 to the power of 4 625 equals 5 cross times 5 cross times 5 cross times 5 equals 5 to the power of 4 243 equals 3 cross times 3 cross times 3 cross times 3 cross times 3 equals 3 to the power of 5 32 equals 2 cross times 2 cross times 2 cross times 2 cross times 2 equals 2 to the power of 5 end style

Maka

Jadi, dapat kita simpulkan bahwa

begin mathsize 14px style straight a over straight b equals 4 over 5 rightwards arrow straight b over straight a equals 5 over 4 straight x over straight y equals 3 over 2 rightwards arrow straight y over straight x equals 2 over 3 end style
Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell straight b over straight a plus straight y over straight x end cell equals cell 5 over 4 plus 2 over 3 end cell row blank equals cell 15 over 12 plus 8 over 12 end cell row blank equals cell 23 over 12 end cell row blank equals cell 1 11 over 12 end cell end table end style