Simplify (2/3)^3 (1/5 x 2/3)^-3 (1/5)^4

Azmuhak asked Jul 5, 2023

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Azmuhak asked Jul 5, 2023

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27 votes

Answer:

$((2)/(3))^(3) ((1)/(5).(2)/(3) )^(-3) ((1)/(5))^(4) =((2^(3) )/(3^(3) )) ((2)/(8) )^(-3) (\frac{1^(4)} {5^(4) })$

$=((2^(3) )/(3^(3) )) ((2^(-3) )/(8^(-3) ) ) (\frac{1^(4)} {5^(4) })$

=(2^(3) .2^(-3).8^(3). 1 )/(3^(3) .5^(4) )

=(1.8^(3) )/(3^(3) .5^(4) )

=((2^(3)) ^(3) )/(3^(3) .5^(4) )

=(2^(9) )/(3^(3) .5^(4) )

=(512)/(27.625)

=(512)/(16875)

Vineesh K S answered Jul 11, 2023

2.6k points

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