Question

Simplify the following expression:
$\frac{27p^7}{7}$ ÷ $\frac{63p^5}{14}$

• A. $\frac{6p^4}{7}$
• B. $\frac{9p^2}{14}$
• C. $\frac{6p^2}{7}$
• D. $\frac{9p^2}{7}$

Answer 1

The correct option is C $\frac{6p^2}{7}$

Given expression: $\frac{27p^7}{7}$ ÷ $\frac{63p^5}{14}$

Using the division rule and flipping the second fraction, we have,

$\frac{27p^7}{7}$ × $\frac{14}{63p^5}$

= $\frac{3p^7}{1}$ × $\frac{2}{7p^5}$

Using $x^m÷x^n=x^{m-n}$,

$\frac{6p^{7-5}}{7}$ = $\frac{6p^2}{7}$

Therefore, option (c) is the correct answer.