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morpeh [17]
3 years ago
7

PLEASE ANSWER ASAP!! WILL MARK BRAINLYIST Find the value of the following expression.

Mathematics
2 answers:
lesya692 [45]3 years ago
8 0

Answer: 25 I believe

Vika [28.1K]3 years ago
3 0

Answer:

  25

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  a^0 = 1 . . . for a≠0

__

  (2^8\cdot5^{-5}\cdot19^0)^{-2}\cdot\left(\dfrac{5^{-2}}{2^3}\right)^4\cdot2^{28}\\\\=2^{8(-2)-3(4)+28}\cdot5^{(-5)(-2)+(-2)(4)}=2^{-16-12+28}\cdot5^{10-8}\\\\=2^0\cdot5^2=\boxed{25}

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