Question

evaluate (2^5÷2^9)×2^-7​

Answer 1

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Answer 2

Step-by-step explanation:

$( {2}^{5} \div {2}^{9}) \times {2}^{ - 7} \\ = ({2}^{5 - 9} ) \times {2}^{ - 7} \: \: \: \: ( {a}^{m} \div {a}^{n} = {a}^{m - n} ) \\ = {2}^{ - 4} \times {2}^{ - 7} \: \: \: \: ( {a}^{m} \times {a}^{n} = {a}^{m + n} )\\ = {2}^{ - 4 + ( - 7)} \\ = {2}^{ - 4 - 7} \\ = {2}^{ - 11} \\ = \frac{1}{ {2}^{11} } \\ = \frac{1}{2048} \: \:\: Ans.$

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