Question

Simplify
$({6}^{2} \times {6}^{4}) \div {6}^{ 3}$
​

Answer 1

$\frac{6^{2+4}}{6^{3}}$

$6^{6 - 3}$

$6^{3}$

$= 216$

hope you get your answer mate!!

Answer 2

Answer:

On simplifying $(6^{2}\times 6^{4} )\div6^{3}$ we get , exponential value as $6^{3}$ which equals to $216$ .

Step-by-step explanation:

To simplify : $(6^{2}\times 6^{4} )\div6^{3}$

Solution :

• To simplify given expression we follow law of exponents .

1. Product law: According to this law if bases of two terms are same then their powers are added keeping the base same. i.e. $a^{m}\times a^{n}=a^{m+n}$
2. Quotient law : this law states that while dividing expression if base are same then their powers are subtracted keeping the base same .i.e. $\frac{a^{m}}{a^{n}}=a^{m-n}$.

• Therefore , according to above law we solve ,

         $(6^{2}\times 6^{4} )\div6^{3}\\\\=(6^{2 + 4})\div6^{3} \\\\=6^{6}\div 6^{3} \\\\=\frac{6^{6} }{6^{3} } \\\\= 6^{6-3} \\\\= 6^{3} \\\\= 6\times 6\times6\\\\= 216$