To solve this equation, we can use the property of exponents that states:
a^(m/n) = (a^m)^(1/n)
Using this property, we can rewrite the equation as:
(5^x)/(5^y) = 5^(-3/1)
Simplifying further, we have:
5^(x - y) = 5^(-3)
Since the bases on both sides of the equation are the same, we can equate the exponents:
x - y = -3
This is the simplified equation representing the relationship between x and y.
an equation is shown, where x and y represent integers.
5^x/ 5^y = 5^-3
3 answers
what are the possible values of x and y?
x=__________
y= ___________
x=__________
y= ___________
To determine the possible values of x and y, we need additional information or constraints for the equation. With the given equation 5^(x-y) = 5^(-3), we can't determine the specific values of x and y without more context.
However, if we assume that x and y are integers, we can solve for the possible values by equating the exponents:
x - y = -3
In this case, there are infinitely many potential solutions for x and y. For example:
x = -3, y = 0
x = -2, y = 1
x = -1, y = 2
x = 0, y = 3
These are just a few examples, but there are infinitely many integer solutions.
However, if we assume that x and y are integers, we can solve for the possible values by equating the exponents:
x - y = -3
In this case, there are infinitely many potential solutions for x and y. For example:
x = -3, y = 0
x = -2, y = 1
x = -1, y = 2
x = 0, y = 3
These are just a few examples, but there are infinitely many integer solutions.