Question

(1000)9 ÷(10)24 9$24 are powers not multiplies

Answer 1

(10^3)^9/10^24
=10^27/10^24
=10^27-24
=10^3
=1000

Answer 2

The value of $\dfrac{1000)^9}{(10)^{24}}=1000$.

Step-by-step explanation:

We have,

$\dfrac{1000)^9}{(10)^{24}}$

To find, the value of $\dfrac{1000)^9}{(10)^{24}}=?$

∴ $\dfrac{1000)^9}{(10)^{24}}$

$=\dfrac{(10^3)^9}{(10)^{24}}$

Using the identity,

$(a^m)^n=a^{mn}$

$=\dfrac{10^{3\times 9}}{10^{24}}$

$=\dfrac{10^{27}}{10^{24}}$

Using the identity,

$\dfrac{a^m}{a^m}=a^{m-n}$

$=10^{27-24}$

$=10^{3}$

= 1000

Hence, the value of $\dfrac{1000)^9}{(10)^{24}}=1000$.