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  • Value of (256) power 0.16 × (256)power 0.09 is : (A) 4 (B) 16 (C) 64 (D) 256.25

Value of (256)0.16 × (256)0.09 is :

(A) 4
(B) 16
(C) 64
(D) 256.25

Answers (1)

Answer.   [A]
Solution.   We have,

(256)0.16 × (256)0.09           [\because am × an = am+n]

= (256)0.16 + 0.09
= (256)0.25

= \left ( 256 \right )^{\frac{25}{100}} 

= \left ( 256 \right )^{\frac{1}{4}} 

Now 256 = 28 = (22)4 = 44

= (44)1/4              [\because (am)n = amn]

= 4

Hence option A is correct.

Posted by

infoexpert27

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