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$(256)^{0.16} \times (256)^{0.09} = ?$

A. 4

B. 16

C. 64

D. 256.25

Correct Answer :

A. 4

(256)^{0.16} \times (256)^{0.09} = (256)^{(0.16 + 0.09)}

= (256)^{0.25}

= (256)^{(25 / 100)}

= (256)^{(1 / 4)}

= (4^{4})^{(1 / 4)}

= 4^{4 (1 / 4)}

= 4^{1}

= 4

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