[(2a^2)^3]^3[(3a^3)^2]^2\div[(6a^6)^2]^2 is equivalent to:

Surds and Indices Practice Test 1

Question : 39 of 40

Marks: +1, -0

[(2a^2)^3]^3[(3a^3)^2]^2÷[(6a^6)^2]^2

is equivalent to:

Solution:

[(2a^2)^3]^3[(3a^3)^2]^2÷[(6a^6)^2]^2

= (8a^6)^3 . (9a^6)^2 ÷ (36a^12)^2

= {(8a^6)^3 . (9a^6)^2} / (36a^12)^2=32a^6

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