Simplify? #2^6/5^6xx3^6/4^6#

1 Answer

Answer:

#729/(1,000,000)=0.000729#

Explanation:

We have

#2^6/5^6xx3^6/4^6#

We can first combine the fractions:

#(2^6xx3^6)/(5^6xx4^6)#

We can rewrite #4^6=(2^2)^6=2^(2xx6)=2^12#

#(2^6xx3^6)/(5^6xx2^12)#

And so can cancel the terms with base 2:

#(2^0xx3^6)/(5^6xx2^6)=3^6/(5^6xx2^6)#

And from here we can evaluate the numbers:

  • #3^6=729#
  • #5^6=15625#
  • #2^6=64#

#3^6/(5^6xx2^6)=729/(15625xx64)=729/(1,000,000)=0.000729#