Question

Which are the correct steps to follow to simplify and exponential expression using the quotient role of an integer exponents

Answer 1

To simplify an exponential expression using the quotient rule of integer exponents, follow these steps:

1. Identify the base and the exponents in the expression.
2. Apply the quotient rule, which states that when dividing two powers with the same base, you subtract the exponents.
3. Simplify the expression by subtracting the exponents.
4. If there are any other operations (such as addition, subtraction, or multiplication) within the expression, perform those operations before simplifying the exponents.
5. Check if the simplification can be further reduced or if it is already in its simplest form.
6. Write the simplified expression, making sure to include any remaining terms.

Example:
Let's simplify the expression (x^5)/(x^3).

1. Identify the base and the exponents:
Base: x
Exponents: 5 and 3

2. Apply the quotient rule: subtract the exponents.
(x^5)/(x^3) = x^(5-3)

3. Simplify the expression by subtracting the exponents.
x^(5-3) = x^2

4. There are no other operations to perform.

5. The simplification cannot be further reduced.

6. The simplified expression is x^2.