Find the value of: \sqrt^{3}{(512)^{-3}\div(729)^{-2}}

Powers and Roots Practice Test 5

Question : 13 of 31

Marks: +1, -0

Find the value of:

√^{3}{(512)^{-3}÷(729)^{-2}}

Solution:

√^{3}{(512)^{-3}÷(729)^{-2}}

=√^{3}{(512)^{-3}/(729)^{-2}}

=√^{3}{ (729)^{ 2}/(512)^{ 3}}

=√^{3}{ ( 9^3)^{ 2}/(8^3)^{ 3}}=9^2/8^3=81/512

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