Question

please give me answer this question friends please ​

Answer 1

Answer:

30^6

Step-by-step explanation:

[(2²)³ x 3^6] x 5^6

= 2^6 x 3^6 x 5^6

= 30^6

plz mark me as brainliest.

Answer 2

${\huge {\underline {\blue {\bf {Question}}}}}$

$\bf \: \{ { {(2}^{2} ) }^{3} \times {3}^{6} \} \times {5}^{6}$

${\huge {\underline {\blue {\bf {Answer}}}}}$

$\begin{gathered}\Large{\bold{\pink{\underline{Formula \: Used \::}}}} \end{gathered}$

$\begin{gathered}(1)\:{\underline{\boxed{\bf{\color{peru}{(a^m)^n\:=\:a^{m\times{n}}\:}}}}} \\ \end{gathered}$

$\begin{gathered}(2)\:{\underline{\boxed{\bf{\color{peru}{(a^m) \times {b}^{m} \:=\:(ab)^{m}\:}}}}} \\ \end{gathered}$

$\rm :\implies\: \bf \: \{ { {(2}^{2} ) }^{3} \times {3}^{6} \} \times {5}^{6}$

$\rm :\implies\: \ \: \{ { {(2}^{6}} \times {3}^{6} \} \times {5}^{6}$

$\rm :\implies\: {2}^{6} \times {3}^{6} \times {5}^{6}$

$\rm :\implies\: {(2 \times 3 \times 5)}^{6}$

$\rm :\implies\: {(30)}^{6}$

$\rm :\implies\:729000000$

$\rm :\implies\:\begin{gathered}\:{\underline{\boxed{\bf{\color{purple}{ \bf \: \{ { {(2}^{2} ) }^{3} \times {3}^{6} \} \times {5}^{6} = 729000000\:}}}}} \\ \end{gathered}$

Additional Information :-

$\begin{gathered}(1)\:{\underline{\boxed{\bf{\blue{a^m\times{a^n}\:=\:a^{m\:+\:n}\:}}}}} \\ \end{gathered}$

$\begin{gathered}(2)\:{\underline{\boxed{\bf{\purple{\dfrac{a^m}{a^n}\:=\:a^{m\:-\:n}\:}}}}} \\ \end{gathered}$

$\begin{gathered}(3)\:{\underline{\boxed{\bf{\orange{\dfrac{1}{x^n}\:=\:x^{-n}\:}}}}} \\ \end{gathered}$