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Question

Find the value of 64x3125z3,if 4x5z=16 and xz=12.

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Solution

4x - 5z = 16, xz = 12

Cubing both sides,

(4x5z)3=(16)3

(4x)3(5y)33×4x×5z(4x5z)=4096 64x3125z33×4×5×xz(4x5z)=4096 64x3125z360×12×16=4096 64x3125z311520=4096 64x3125z3=4096+11520=15616


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