Question

if
$( \sqrt{1024} ) {}^{3} = 8x \: then \: x \: =$
​

Answer 1

Step-by-step explanation:

$( \sqrt{1024} ) {}^{3} = 8x$

$(1024 = {2}^{10} )$

Thus,

$( \sqrt{ {2}^{10} } ) {}^{3} = 8x$

${2}^{10 \times \frac{1}{2} \times 3} = 8x$

${2}^{15} = 8x$

$(8 = {2}^{3} )$

${2}^{15} = {2}^{3} x$

$x = \frac{ {2}^{15} }{ {2}^{3} }$

$x = {2}^{12}$

$x = 4096$

Answer 2

Step-by-step explanation:

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