Question

(-2) ^3*(-2) ^7/3*4^6
please answer fast​

Answer 1

Answer:

${ - 2}^{3} \times ( { - 2})^{ \frac{7}{3} } \times {4}^{6} \\ = - 8 \times 4096 \times ({ - 2})^{ \frac{7 }{3} } \\ = - 32768 \times ({ - 2})^{ \frac{7}{3} } \\ = ({ - 2})^{15} \times ({ - 2})^{ \frac{7}{3} } \\ = ({ - 2})^{15 + \frac{7}{3} } (power \: is \: added \: if \: the \: base \: is \: same) \\ = ({ - 2})^{ \frac{52}{3} }$