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}#