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

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Answer 1 · 2017-03-14T01:23:16

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

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:

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

Simplify? 2^6/5^6xx3^6/4^62^6/5^6xx3^6/4^6