Question

Which of the following is equal to $\frac{15x^6{z}^5}{5x^{3}z}?$

• A. $3x^3{z}^4$
• B. $3x^3{z}^5$
• C. $3x^4{z}^3$
• D. None of the above

Answer 1

The correct option is A $3x^3{z}^4$

$\underset{–}{\text{Need to simplify:}}\frac{15x^6{z}^5}{5x^{3}z}$

$\frac{15x^6{z}^5}{5x^{3}z}$

$=(\frac{15}{5})x^{6-3}{z}^{5-1}$
[ <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Division rule of exponents: $\frac{a^m}{a^n}=a^{m-n}$ ]

$=3x^3{z}^4$

Therefore, option (a.) is the correct one.