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Find the value of the following expression:

(2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 2^28

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Answer :

The final value of the expression is 149

The given expression is:

[tex](2^8 \times 5^{-5} \times 19^0)^{-2}\\\\2^{-2(8)} \times 5^{-5(-2)} \times 19^{0(-2)}\\\\2^{-16} \times 5^{10} \times 19^{0}\\\\\frac{1}{2^{16}} \times 5^{10} \times 1\\\\\frac{5^{10}}{2^{16}} \\\\= 149[/tex]

The final result of the expression after simplification is 149

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