Question

I will mark u brainles if you're correct

Answer 1

9514 1404 393

Answer:

rules of exponents apply

Explanation:

The applicable rules of exponents are ...

a^-b = 1/a^b

(a^b)(a^c) = a^(b+c)

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

`\left((1)/(5)\right)^4\cdot\left((1)/(5)\right)^2=5^(-6)\\\\ \left((1)/(5^4)\right)\cdot\left((1)/(5^2)\right)=5^(-6)\\\\ (5^(-4))(5^(-2))=5^(-6)\\\\5^(-4-2)=5^(-6)\\\\5^(-6)=5^(-6)`