Question

14. Value of (256)power 0.16x ( 256)power0.09is​

Answer 1

Answer:

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Step-by-step explanation:

Answer 2

$Value \:of \: (256)^{0.16} \times (256)^{0.09}$

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

/* By Exponential Law */

$\boxed{\pink{ a^m \times a^{n} = a^{m+n}}}$

$= (256)^{0.25}$

$= (4^{4})^{0.25}$

$= 4^{ 4 \times 0.25}$

$= 4^1$

$= 4$

Therefore.,

$\red{Value \:of \: (256)^{0.16} \times (256)^{0.09}}$

$\green { = 4 }$

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