The expressions that are equivalent to 5^x are:
- C: (15/3)^x
- D) 15^x/3^x
- E: 5*5^{x - 1}
Which expressions are equivalent to 5^x?
Two expressions are equivalent if both represent the same thing.
From, the options, the first equivalent one is the option C.
C: (15/3)^x
Here we can solve the quotient before we apply the power, so we just get:
(15/3)^x = (5)^x = 5^x
So the expressions are equivalent.
D) Notice that:
(15/3)^x = 15^x/3^x
So this expression is equivalent to the one in C, then it is also equivalent to the original expression.
Finally:
E) Remember that:
a^n*a^m = a^(n + m)
Then when we have:
5*5^{x -1} = 5^{1 + x - 1} = 5^x
So this is equivalent to the original expression.
If you want to learn more about equivalent expressions, you can read:
https://brainly.com/question/2972832
