Select the equivalent expression of $$[\frac{8^{-5}}{2^{-2}}]^{-4}$$


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<div id="id_cont_display" class="markdown-body editormd-html-preview"><textarea wfd-invisible="true">Select the equivalent expression of $$[\frac{8^{-5}}{2^{-2}}]^{-4}$$
</textarea>Select the equivalent expression of <math><semantics><mrow wfd-invisible="true"><mo>[</mo><mfrac><mrow><msup><mn>8</mn><mrow><mo>−</mo><mn>5</mn></mrow></msup></mrow><mrow><msup><mn>2</mn><mrow><mo>−</mo><mn>2</mn></mrow></msup></mrow></mfrac><msup><mo>]</mo><mrow><mo>−</mo><mn>4</mn></mrow></msup></mrow><annotation encoding="application/x-tex">[\frac{8^{-5}}{2^{-2}}]^{-4}</annotation></semantics></math>[​2​−2​​​​8​−5​​​​]​−4​​
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<div id="id_solution_display" class="markdown-body editormd-html-preview"><textarea wfd-invisible="true">Answer

$$(\frac{8^{-5}}{2^{-2}})^{-4}=\frac{8^{20}}{2^{8}}$$

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<math><semantics><mrow wfd-invisible="true"><mo>(</mo><mfrac><mrow><msup><mn>8</mn><mrow><mo>−</mo><mn>5</mn></mrow></msup></mrow><mrow><msup><mn>2</mn><mrow><mo>−</mo><mn>2</mn></mrow></msup></mrow></mfrac><msup><mo>)</mo><mrow><mo>−</mo><mn>4</mn></mrow></msup><mo>=</mo><mfrac><mrow><msup><mn>8</mn><mrow><mn>2</mn><mn>0</mn></mrow></msup></mrow><mrow><msup><mn>2</mn><mrow><mn>8</mn></mrow></msup></mrow></mfrac></mrow><annotation encoding="application/x-tex">(\frac{8^{-5}}{2^{-2}})^{-4}=\frac{8^{20}}{2^{8}}</annotation></semantics></math>(​2​−2​​​​8​−5​​​​)​−4​​=​2​8​​​​8​20​​​​
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