21. Why a raised to a power of 0 is equal to 1 ?

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Why x raise to the power 0 is equal to 1?

\frac{1}{4}

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

If a + 2b is equal to 5 then show that a raise to power 3 + 8b to the power 3 + 30ab is equal to 125

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