Question

simplify. express your answer using positive exponents.
$\frac{2b^{6}cd}{2bcd}$

Explanation:

Step1: Divide the coefficients

$\frac{2}{2}=1$

Step2: Use exponent - division rule for $b$

According to $\frac{b^m}{b^n}=b^{m - n}$, for $b^6$ and $b^1$, we have $\frac{b^6}{b^1}=b^{6 - 1}=b^5$

Step3: Divide $c$ and $d$ terms

$\frac{c}{c}=1$ and $\frac{d}{d}=1$

Step4: Combine the results

$1\times b^5\times1\times1 = b^5$

Answer:

$b^5$