Simplification Ques 19
Question-
$64^{12} \div 4^{15}=64^{\text {? }}$
(1) 9
(2) 3
(3) 12
(4) 7
(5) None of these
Show Answer
Correct Answer: (4)
Solution: (4)
$64^{12} \div (4)^{15}=64^{\text {? }}$
$\Rightarrow 64^{12} \div\left(4^{3}\right)^{5}=64^{?}$
$\left[\because\left(a^{m}\right)^{n}=a^{m n}\right]$
$\Rightarrow 64^{12} \div 64^{5}=64^{?}$
$\Rightarrow 64^{12-5}=64^{?}$
$\Rightarrow 64^{7}=64^{?} $
$\Rightarrow$ ? $=7$
$ \left[\because a^{m}=a^{n} \Rightarrow m=n\right] $
BETA
