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.
Which are the correct steps to follow to simplify an exponential expression using the quotient rule of integers exponents
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1 answer