Forenkle (81/16) ^ (- 3/9)?

Forenkle (81/16) ^ (- 3/9)?
Anonim

Svar:

# (Root (3) (16)) / (root (3) (81)) #

Forklaring:

# "bemærk at" -3 / 9 = -1 / 3 #

# "ved hjælp af" farve (blå) "love of exponents" #

# • farve (hvid) (x) a ^ -mhArr1 / a ^ m #

# • farve (hvid) (x) a ^ (m / n) Harr (root (n) a) ^ m #

#rArr (81/16) ^ (- 1/3) #

# = 1 / (81/16) ^ (1/3) = 1 / (root (3) (81) / root (3) (16)) = (root (3) (16)) / (root (3) (81) #