Cevabınızı olumlu üslerle ifade ederek aşağıdaki endeks sorusunu basitleştirin.

Cevap:

# (2 x ^ (8) z) / y ^ (4) #

Açıklama:

# (X ^ 3yz ^ -2times2 (x ^ 3y ^ -2z) ^ 2) / (xyz ^ 1) #

Kural kullanarak: # (a ^ m) n = a ^ (mn) #

# => X ^ 3yz ^ -2times2 (x ^ (3 kat2) y ^ (- 2times2) z ^ 2) / (xyz ^ 1) #

# => (2 x ^ 3yz ^ -2x (x ^ 6y ^ -4z ^ 2)) / (xyz ^ -1) #

# => (2 x ^ 3yz ^ -2timesx ^ 6y ^ -4z ^ 2) / (xyz ^ -1) #

Kural kullanarak: # a ^ m çarpı a ^ n = a ^ (m + n) #

# => (2 x ^ (3 + 6) y ^ (1-4) z ^ (- 2 + 2)) / (xyz ^ -1) #

# => (2 x ^ (9) y ^ (- 3) z ^ (0)) / (xyz ^ -1) #

Kural kullanarak: # a ^ m / a ^ n = a ^ (m-n) #

# => (2 x ^ (9-1) y ^ (- 3-1) z ^ (0 + 1)) #

# => (2 x ^ (8) y ^ (- 4) z ^ (1)) #

Kural kullanarak: # a ^ -m = 1 / a ^ m #

# => (2 x ^ (8) z ^ (1)) / y ^ (4) #