Question

Simplify and express in the exponential form with a positive index. (-2⁴× 4⁵)-²​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

$\tt{( { - 2}^{4} \times {4}^{5} )}^{ - 2} \\ = > \tt{(16 \times {4}^{5}) }^{ - 2} \\ = > \tt{( {2}^{4} \times {4}^{5}) }^{ - 2} \\ = > \tt ( {2}^{4} \times ( {2}^{2})^{ 5})^{ - 2} \\ = > \tt( {2}^{4} \times {2}^{2 \times 5}) ^{ - 2} \\ = > \tt ( {2}^{4} \times {2}^{10} )^{ - 2} \\ = > \tt( {2}^{10 + 4} )^{ - 2} \\ = > \tt{({2}^{14} )}^{ - 2} \\ = > \tt {2}^{14 \times - 2} \\ = > \tt{2}^{ - 28} \: \: \: or\: \: \: \frac{1}{{2}^{28}}$

Step-by-step explanation:

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