Given nbsp;(2a^3)^4 ÷ (4a^2)^2 nbsp;=(2^4a^12) ÷ (4^2a^4) [(ab)^n = nbsp;a^n× b^n] =16a^12/16a^4 nbsp; nbsp; nbsp; nbsp; [a^m/a^n= ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Quotient Law

2a34 ÷4a22=

Question

$(2 a^{3})^{4} \div (4 a^{2})^{2} =$

Open in App

Solution

Given $(2 a^{3})^{4} \div (4 a^{2})^{2}$

$= (2^{4} a^{12}) \div (4^{2} a^{4}) [(a b)^{n} = a^{n} \times b^{n}]$

$= \frac{16 a^{12}}{16 a^{4}}$ $[\frac{a^{m}}{a^{n}} = a^{m - n}]$

$= a^{12 - 4}$
$= a^{8}$

Suggest Corrections