Derive : a raised to the the power of log X to the base a?

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Compare the following numbers :

(1) 2.7 x 10 raised to the power of 12 ; 1.5 x 10 raised to the power of 8

(2) 4 x 10 raised to the power of 14 ; 3 x 10 raised to the power of 17

$25$ raised to the power $\frac{4}{5}$ raised to the power of $3$ .

The relation between x, y and z where x = 81, y = 4 and z = 3 written in the exponential form is :

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