Which are the correct steps to follow to simplify an exponential expression using the quotient rule of integers exponents
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 exponential terms with the same base, you subtract the exponents: a^m / a^n = a^(m-n).
3. Subtract the exponents of the base. If the base is the same, but there is no exponent explicitly written, it is assumed to be 1: a^1 / a^n = a^(1-n) = a^-n.
4. Simplify the expression further if possible. If the exponent is negative, you can rewrite it as the reciprocal of the positive exponent: a^-n = 1/a^n.
5. Write the simplified expression in its final form, ensuring that there are no negative exponents.
It's important to note that the exponent rules only apply to expressions with the same base.
To simplify an exponential expression using the quotient rule of integer exponents, follow these steps:
Step 1: Identify the base and the exponents in the given expression.
Step 2: Apply the quotient rule, which states that when you divide two exponential expressions with the same base, you subtract the exponents:
a^m / a^n = a^(m - n)
Step 3: Simplify the expression using the quotient rule by subtracting the exponents.
Step 4: If there are any further simplifications possible, perform them.
Step 5: The final simplified form of the exponential expression should have the base and exponent written in their simplest form.
By following these steps, you should be able to simplify any exponential expression using the quotient rule of integer exponents.