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21-07-2020
Mathematics

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Simplify the expression [tex](2^{-2} * 5^{-5} )^{-4}[/tex]

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21-07-2020

Answer:

[tex]2^8* 5^{20}[/tex]

Step-by-step explanation:

Apply rule: [tex](a^c * b^d)^e=a^{ce} * b^{de}[/tex]

[tex]2^{-2* -4}*5^{-5*-4}[/tex]

[tex]2^8* 5^{20}[/tex]

[tex]2^8* 5^{20}= 24,414,062,500,000,000[/tex]

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