Question

( 1000 )^10 ÷ ( 100 )^12 = ?​

Answer 1

Answer:

• $\implies 10^{6}$

Solution:

$\sf \mapsto 1000^{10 } Can \:be \: written \: as \: \red{10^{30}} \\ \\\sf And \: 100^{12}Can \:be \: written \: as \: \red{10^{24}}$

And using exponential property we know that,

$\red\bigstar\boxed{\bf (a^m)^n = a^{mn}}$

$\red\bigstar\boxed{\bf \frac{a^m}{a^n}= a^{m-n}}$

So,

$\implies\sf \dfrac{1000^{10}}{100^{12}} \\\\\implies \sf \dfrac{(10^3)^{10}}{(10^2)^{12}} \\\\\implies\sf\dfrac{10^{30}}{10^{24}}$

Bases are same,

$\implies\sf 10^{30-24} \\\\\implies\sf 10^6$

Therefore,

$\bf 10^6 \textsf{ is answer}$