Simplify: 5√(32)raised to power -3?

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Answer 1 · 2018-06-08T17:04:50

#1/(16000*sqrt(2)#

W"riting your term as

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

This is

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

Answer 2 · 2018-06-08T17:09:52

#1/(16000sqrt(2))#

#=> (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))#