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Simplify and write the answer in exponential form (2⁵/2⁸)⁵×2‐⁵please answers of question past because my exam is going on​

Answer»

ANSWER:

  • \tt \huge {( \frac{1}{2} )}^{20}

Step-by-step EXPLANATION:

\bold {({2}^{5 - 8} )}^{5} \times {2}^{ - 5} \\ \\ = {(2)}^{ - 3 \times 5} \times {2}^{ - 5} \\ \\ = {(2)}^{ - 15 +9 (- 5)} \\ \\ = {(2)}^{ - 15 - 5} \\ \\ = {2}^{ - 20} = { (\frac{1}{2} )}^{ 20}


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