(256) 0.16 x (256) 0.09 = ? Options: A . &nbsp4 B . &nbsp16 C . &nbsp64 D . &nbsp256.25

(256)0.16 x (256)0.09 = ?

Question

(256)^0.16 x (256)^0.09 = ?

Options:

A . 4

B . 16

C . 64

D . 256.25

Answer: Option A

(256)^0.16 x (256)^0.09 = (256)^{(0.16 + 0.09)}

= (256)^0.25

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

⁼ \((256)^{\left(\frac{1}{4}\right)}\)

^{= \((4^{4})^{\left(\frac{1}{4}\right)}\)}

= \(4^{4\left(\frac{1}{4}\right)}\)

= 4¹

= 4

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