Question

64^-1/3( 64^1/3-64^2/3)​

Answer 1

=> (64)^-1/3 × (64)^1/3 - (64)^2/3

=> (4)^3×-1/3 (4)3×1/3 -(4)3×2/3

=> 4^-1 × 4^1 - 4^2

=> 4^-1+1 - 16

=> 4^0 - 16

=> 1 - 16

=> -15

Answer 2

Required Answer

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

$\tt \: {4}^{ - 1} \: \{4 - {4}^{2} \}$

$\tt \: \frac{1}{4} \: \: \: \{4 - 16 \}$

$\tt \: \frac{1}{4} \times ( - 12)$

$\tt \frac{ - 12}{4}$

$\tt{\boxed{ - 3}}$