Question

Simplify 5p2/5p3 a) p/4 b) 3p3 c) 1/p d) 6/7p3

Answer 1

To simplify the above expression, we can use the quotient rule.

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

By using the above property we can subtract the exponents of the same base.

First step is to simplify the above expression, cancel out 5 from both numerator and denominator. Therefore,

$\frac{5p^2}{5p^3} =\frac{p^2}{p^3}$

=$p^{2-3}$

= $p^-1$

= $\frac{1}{p}$

Since $x^-1 = \frac{1}{x}$.

So, the correct choice is c) 1/p.

I hope this helps you!