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Anastasy [175]
3 years ago
15

I will mark u brainles if you're correct

Mathematics
1 answer:
Virty [35]3 years ago
6 0

9514 1404 393

Answer:

  rules of exponents apply

Step-by-step explanation:

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)(a^c) = a^(b+c)

__

Applying those rules to the given equation, you get ...

  \left(\dfrac{1}{5}\right)^4\cdot\left(\dfrac{1}{5}\right)^2=5^{-6}\\\\ \left(\dfrac{1}{5^4}\right)\cdot\left(\dfrac{1}{5^2}\right)=5^{-6}\\\\ (5^{-4})(5^{-2})=5^{-6}\\\\5^{-4-2}=5^{-6}\\\\5^{-6}=5^{-6}

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