Question

Simplify :
$\frac{ ({ - 2}^{2}) \times( { - 2}^{7} ) }{3 \times {4}^{6} }$
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Answer 1

Answer:

$\frac{ - 1}{24}$

Step-by-step explanation:

$\frac{( - {2}^{2})( - {2}^{7} ) }{3 \times {4}^{6} } \\ \frac{( - {2}^{9} )}{3 \times {2}^{12} } \\ \frac{ ( - 1)( {2}^{9 - 12}) }{3} \\ \frac{ - {2}^{-3} }{3} \\ \frac{ - 1}{24}$

Answer 2

Step-by-step explanation:

$\frac{ {( - 2)}^{2} \times {( - 2)}^{7} }{3 \times {4}^{6} } \\ \\ \\ = \frac{ {( - 2)}^{2 + 7} }{3 \times {( - 2)}^{2 \times 6} } \\ \\ \\ = \frac{ {( - 2)}^{9 - 12} }{3} \\ \\ \\ = \frac{ {( - 2)}^{ - 3} }{3} \\ \\ \\ = \frac{1}{ {( - 2)}^{3} \times 3} \\ \\ \\ \frac{1}{ - 24}$

THANKS