Question

Simplify : (54x)^1/3 - (2x)^1/3 / 2^1/3
answer this question only if you know the answer or else get reported.​

Answer 1

Answer:

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Answer 2

SOLUTION

TO SIMPLIFY

$\displaystyle \sf{ \frac{ {(54x)}^{ \frac{1}{3} } - {(2x)}^{ \frac{1}{3} } }{{2}^{ \frac{1}{3} }} }$

EVALUATION

$\displaystyle \sf{ \frac{ {(54x)}^{ \frac{1}{3} } - {(2x)}^{ \frac{1}{3} } }{{2}^{ \frac{1}{3} }} }$

$\displaystyle \sf{ = \frac{ {(54x)}^{ \frac{1}{3} } }{{2}^{ \frac{1}{3} }} - \frac{ {(2x)}^{ \frac{1}{3} } }{{2}^{ \frac{1}{3} }}}$

$\displaystyle \sf{ = { \bigg( \frac{54x}{2} \bigg)}^{ \frac{1}{3} } - { \bigg( \frac{2x}{2} \bigg)}^{ \frac{1}{3} }}$

$\displaystyle \sf{ = { (27x)}^{ \frac{1}{3} } - { (x)}^{ \frac{1}{3} }}$

$\displaystyle \sf{ = { (27)}^{ \frac{1}{3} } { (x)}^{ \frac{1}{3} } - { (x)}^{ \frac{1}{3} }}$

$\displaystyle \sf{ = { ( {3}^{3} )}^{ \frac{1}{3} } { (x)}^{ \frac{1}{3} } - { (x)}^{ \frac{1}{3} }}$

$\displaystyle \sf{ = 3{ (x)}^{ \frac{1}{3} } - { (x)}^{ \frac{1}{3} }}$

$\displaystyle \sf{ = 2{ (x)}^{ \frac{1}{3} }}$

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