Question

Simplify 2 to the power 5 ÷ 2 to the power 8 whole to the power 5 × 2 to the power -5 and write the answer in exponential form.


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Answer 1

Step-by-step explanation:

$( {2}^{5} \div {2}^{8} ) {}^{5} \times {2}^{ - 5} = {2}^{25} \div {2}^{40} \times {2}^{5} \\ = {2}^{25} \div {2}^{40 + 5} \\ = {2}^{25 - 45} \\ = {2}^{ - 20 } \\ = \frac{1}{ {}2^{20} }$

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