Question

64^-1/3( 64^1/3-64^2/3)

Answer 1

$\huge{\underline{\tt{\blue{Answer-}}}}$

$\longrightarrow \tt \: ( {4}^{3}) { {}^{ \frac{ - 1}{3} } } \: \bigg \{( {4}^{3} ) {}^{ \frac{1}{3} } - ( {4}^{3} ) {}^{ \frac{2}{3} } \bigg \} \\ \\ \\ \longrightarrow \tt \: {4}^{ - 1} \: \{4 - {4}^{2} \} \\ \\ \\ \longrightarrow \tt \: \frac{1}{4} \: \: \: \{4 - 16 \} \\ \\ \\ \longrightarrow \tt \: \frac{1}{4} \times ( - 12) \\ \\ \\ \longrightarrow \tt \frac{ - 12}{4} \\ \\ \\ \longrightarrow \tt \green{ - 3}$

Answer 2

$\bf\orange{\underline{\underline{Question}}}$

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64^-1/3( 64^1/3-64^2/3)

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$\bf\orange{\underline{\underline{Solution}}}$

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$\rightarrow \tt \: ( {4}^{3}) { {}^{ \frac{ - 1}{3} } } \: \bigg \{( {4}^{3} ) {}^{ \frac{1}{3} } - ( {4}^{3} ) {}^{ \frac{2}{3} } \bigg \} \\ \\ \\ \rightarrow \tt \: {4}^{ - 1} \: \{4 - {4}^{2} \} \\ \\ \\ \rightarrow \tt \: \frac{1}{4} \: \: \: \{4 - 16 \} \\ \\ \\ \rightarrow \tt \: \frac{1}{4} \times ( - 12) \\ \\ \\ \rightarrow \tt \frac{ - 12}{4}$

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$\large{\underline{\tt{\red{ Final\: answer -\:\:\:3}}}}$