Simplify $(2²a³b²)/(4²b⁵)$ ?

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Answer 1 · 2017-02-14T03:12:39

$(2²a³b²)/(4²b⁵)=a^3/(4b^3)$

$(2²a³b²)/(4²b⁵)$

= $(color(blue)(2xx2)xxaxxaxxaxxcolor(red)(bxxb))/(color(blue)(2xx2)xx2xx2xxcolor(red)(bxxb)xxbxxbxxb)$

= $(cancel(color(blue)(2xx2))xxaxxaxxaxxcancel(color(red)(bxxb)))/(cancel(color(blue)(2xx2))xx2xx2xxcancel(color(red)(bxxb))xxbxxbxxb)$

= $a^3/(4b^3)$

Simplify (2²a³b²)/(4²b⁵)(2²a³b²)/(4²b⁵)?