Question

How do you divide `\frac { 6p ^ { 2} } { 9^ { 4} } \div \frac { 3} { 2p }`?

Answer 1

Use the reciprocal rule `a/b\div c/d` `=` `a/b \times d/c` to invert the divisor fraction and then evaluate.

Explanation:

So, by following the concept provided above, we get:

`=\frac{6p^2}{9^4}\times \frac{2p}{3}`

Simplify by yourself applying the exponent rules,

• `a^b\cdot a^c=a^{b+c}`

• `a^4=a\timesa\timesa\timesa`

  and you will finally have:

`=\frac{4p^3}{6561}`