w^12/w^18 =
w^30
w^-30
w^6
w^-6
Using the exponent rule that states x^m / x^n = x^(m-n), we can rewrite the given expression as w^12 / w^18 = w^(12-18) = w^(-6).
Therefore, the correct answer is w^(-6).
To simplify the expression (w^12)/(w^18), we can use the rule of subtracting exponents when dividing with the same base.
Step 1: Subtract the exponents.
w^12/w^18 = w^(12-18) = w^-6
Therefore, (w^12)/(w^18) simplifies to w^-6.
To simplify the expression w^12/w^18, we can use the quotient rule for exponentiation, which states that when dividing two terms with the same base, we subtract their exponents. In this case, the base is w.
Step 1: Subtract the exponents.
w^12 - w^18
Since both terms have the same base, we subtract their exponents:
w^(12-18)
w^(-6)
Therefore, the simplified expression w^12/w^18 equals w^(-6), which is option (d).
Explanation on how to get the answer:
1. Start by writing down the expression as given: w^12/w^18.
2. Apply the quotient rule for exponentiation, which states that when dividing two terms with the same base, you subtract their exponents.
3. In this case, subtract the exponents 12 - 18 to get -6.
4. Write down the result as w^(-6).
5. This is the final answer, which corresponds to option (d).