Question

What is the value of p in the question below. 10x9/2x4= px 5

Answer 1

Answer:

p = 5

Step-by-step explanation:

We have that:

$\frac{x^{a}}{x^{b}} = x^{a-b}$

So

$\frac{x^{9}}{x^{4}} = x^{9-4} = x^{5}$

10/2 = 5

Then

$\frac{10x^{9}}{2x^{4}} = 5x^{9-4} = 5x^{5}$

Finding p:

$5x^{5} = px^{5}$

$p = \frac{5x^{5}}{x^{5}}$

$p = 5$