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We have,
![\quad \: {(125)}^{ \large{ \frac{1}{3} }} \red{ \longleftarrow \bf question} \\ \\ = { \left[ {(5)}^{3} \right] }^{ \large{ \frac{1}{3} }} \\ \\ = {(5)}^{3 \times \large{\frac{1}{3} }} \\ \\ = {(5)}^{ \cancel{3} \times \large{ \frac{1}{ \cancel{3}}} } \\ \\ = {(5)}^{1} \\ \\ = \bf \: 5 \blue{ \Longleftarrow} {\underline{\green{\bf{answer}}}} \quad \: {(125)}^{ \large{ \frac{1}{3} }} \red{ \longleftarrow \bf question} \\ \\ = { \left[ {(5)}^{3} \right] }^{ \large{ \frac{1}{3} }} \\ \\ = {(5)}^{3 \times \large{\frac{1}{3} }} \\ \\ = {(5)}^{ \cancel{3} \times \large{ \frac{1}{ \cancel{3}}} } \\ \\ = {(5)}^{1} \\ \\ = \bf \: 5 \blue{ \Longleftarrow} {\underline{\green{\bf{answer}}}}](https://tex.z-dn.net/?f=+%5Cquad+%5C%3A+%7B%28125%29%7D%5E%7B+%5Clarge%7B+%5Cfrac%7B1%7D%7B3%7D+%7D%7D+%5Cred%7B+%5Clongleftarrow+%5Cbf+question%7D+%5C%5C+%5C%5C+%3D+%7B+%5Cleft%5B+%7B%285%29%7D%5E%7B3%7D+%5Cright%5D+%7D%5E%7B+%5Clarge%7B+%5Cfrac%7B1%7D%7B3%7D+%7D%7D+%5C%5C+%5C%5C+%3D+%7B%285%29%7D%5E%7B3+%5Ctimes+%5Clarge%7B%5Cfrac%7B1%7D%7B3%7D+%7D%7D+%5C%5C+%5C%5C+%3D+%7B%285%29%7D%5E%7B+%5Ccancel%7B3%7D+%5Ctimes+%5Clarge%7B+%5Cfrac%7B1%7D%7B+%5Ccancel%7B3%7D%7D%7D+%7D+%5C%5C+%5C%5C+%3D+%7B%285%29%7D%5E%7B1%7D+%5C%5C+%5C%5C+%3D+%5Cbf+%5C%3A+5+%5Cblue%7B+%5CLongleftarrow%7D+%7B%5Cunderline%7B%5Cgreen%7B%5Cbf%7Banswer%7D%7D%7D%7D)
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