Question

simplify. express your answer using positive exponents.
\\(\frac{6j^3}{6j}\\)

Explanation:

Step1: Simplify the coefficients

The coefficient of the numerator is 6 and the coefficient of the denominator is also 6. When we divide 6 by 6, we get $\frac{6}{6} = 1$.

Step2: Simplify the variable terms

For the variable \( j \), we use the quotient rule of exponents which states that \( \frac{a^m}{a^n}=a^{m - n} \) (where \( a
eq0 \)). Here, \( a = j \), \( m = 3 \) and \( n = 1 \). So, \( \frac{j^{3}}{j^{1}}=j^{3 - 1}=j^{2} \).

Step3: Combine the results

Multiply the result from the coefficient simplification and the variable term simplification. Since the coefficient result is 1 and the variable term result is \( j^{2} \), we have \( 1\times j^{2}=j^{2} \).

Answer:

\( j^{2} \)