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
