Question

1. Simplify using only positive exponents: (2t)^-6

Answer 1

$1. \: ( {2t})^{ - 6} = (\frac{1}{2t} ) ^{6} \\ = \frac{1}{ ({2t)}^{6} } = \frac{1}{ {2}^{6} {t}^{6} } = \frac{1}{64 {t}^{6} }$
$2. \: ( {w}^{ - 2} {j}^{ - 4} )^{ - 3} ( {j}^{7} {j}^{ 3} ) \\ = ( {w}^{6} {j}^{12} )( {j}^{7} {j}^{3} ) \\ = {w}^{6} {j}^{12 + 7 + 3} \\ = {w}^{6} {j}^{22}$