heyysn6401 heyysn6401
  • 21-10-2020
  • Mathematics
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5^3 / 5^-3 oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

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facundo3141592
facundo3141592 facundo3141592
  • 21-10-2020

Answer: 5^3 / 5^-3 = 5^6 = 15,625

Step-by-step explanation:

Ok, you may find useful for problems like this the next two relations:

[tex]x^a*x^b = x^{a + b}[/tex]

[tex]x^a/x^b = x^{a - b}[/tex]

Now we have the equation:

5^3/5^-3

We have a quotient, then we need to use the second relationship, where:

x = 5

a = 3

b = -3

5^3/5^-3 = 5^(3 - (-3)) = 5^(3 + 3) = 5^6 = 15,625

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