Express 18k³ ÷ 3k².
To express 18k³ ÷ 3k², we divide the coefficients and subtract the exponents:
18k³ ÷ 3k² = 18/3 * k³/k² = 6k^(3-2) = 6k
To simplify the expression 18k³ ÷ 3k², you can use the quotient rule of exponents. This rule states that when dividing terms with the same base, you subtract their exponents.
In this case, the base is k.
1. Divide the coefficients: 18 ÷ 3 = 6.
The simplified expression is now 6k³ ÷ k².
2. Apply the quotient rule of exponents: subtract the exponents.
k³ ÷ k² = k^(3-2) = k.
Therefore, the simplified expression is 6k.