Zjednodušte: 5 (32) zvýšená na výkon -3?

odpoveď:

# 1 / (16000 * sqrt (2) #

vysvetlenie:

W "riting váš termín ako

# 1 / (5 ^ 3 * 4 ^ 3 * 2 * sqrt (2)) #

Toto je

# 1 / (16000 * sqrt (2)) #

odpoveď:

# 1 / (16000sqrt (2)) #

vysvetlenie:

# => (5sqrt (32)) ^ - 3 #

# => 1 / (5sqrt (32)) ^ 3 farba (biela) (…) a ^ -b = 1 / a ^ b #

# => 1 / (5 ^ 3 × sqrt (32) ^ 3) #

# => 1 / (125 × sqrt (32) × sqrt (32) × sqrt (32)) #

# => 1 / (125 × 32sqrt (32)) farba (biela) (…) sqrt (a) × sqrt (a) = a #

# => 1 / (4000sqrt (32)) #

# => 1 / (4000sqrt (4 × 4 × 2)) #

# => 1 / (4000 × 4 × sqrt (2)) #

# => 1 / (16000sqrt (2)) #