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

1 Answer
Jan 23, 2018

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}