Will give find an equivalent function to f(x)=5(2)^3x. the 5(2)^3x means 5(2) to the 3x power answer choices: a: f(x)=125^x(8)^x b: f(x)=10^2x c: f(x)=40^x d: f(x)=5(8)^x

D

Step-by-step explanation:

To evaluate or simplify expressions with exponents, we use exponent rules.  

1.An exponent is only a short cut for multiplication. It simplifies how we write the expression.

2.When we multiply terms with the same bases, we add exponents.

3.When we divide terms with the same bases, we subtract exponents.

4.When we have a base to the exponent of 0, it is 1.

5.A negative exponent creates a fraction.

6.When we raise an exponent to an exponent, we multiply exponents.

7.When we have exponents with parenthesis, we apply it to everything in the parenthesis.

We will use these rules to simplify.

relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.

step-by-step explanation:

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign