Simplify: 5√(32)raised to power -3?

2 Answers
Jun 8, 2018

#1/(16000*sqrt(2)#

Explanation:

W"riting your term as

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

This is

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

Jun 8, 2018

#1/(16000sqrt(2))#

Explanation:

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

#=> 1/(5sqrt(32))^3 color(white)(...)[∵ a^-b = 1/a^b]#

#=> 1/(5^3 × sqrt(32)^3)#

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

#=> 1/(125 × 32sqrt(32)) color(white)(...)[∵ sqrt(a) × sqrt(a) = a]#

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

#=> 1/(4000sqrt(4 × 4 × 2))#

#=> 1/(4000 × 4 × sqrt(2))#

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