Question

Hey guys I am stuck in these problems please help me with graphical explanation as tomorrow is my exam and I am so confused in it... please guys help me am like your lil bro​

Answer 1

I hope it will help you

Please make my answer brainliest

Answer 2

Given :-

$\sf\ \ a)\ \dfrac{3^5\times 10^5\times 25}{5^7\times 6^3}\\ \\ \sf\ b)\ \dfrac{2\times 3^4\times 2^5}{9\times 4^2}$

Solution :-

$\bullet\sf\ \ \dfrac{3^5\times 10^5\times 25}{5^7\times 6^3}\\ \\ \\ :\implies\sf\ \dfrac{3^5\times (2\times 5)^5\times 5^2}{5^7\times (2\times 3)^3}\\ \\\bullet{\small{\sf\ a^m\times a^n= a^{m+n}}}\\ \\ \bullet{\small{\sf\ \dfrac{1}{a^n}= a^{-n}}}\\ \\ :\implies\sf\ \ \dfrac{(3^5\times 2^5)\times (5^5\times 5^2)}{5^7\times (2\times 3)^3}\\ \\ \\ :\implies\sf\ \dfrac{(3\times 2)^5\times 5^{(5+2)}}{5^7\times 6^3}\\ \\ :\implies\sf\ \dfrac{6^5\times \cancel{5^7}}{\cancel{5^7}\times 6^3}\\ \\ \\ :\implies\sf \ 6^5\times 6^{-3}\\ \\ \\ :\implies\sf\ 6^{5-3}\\ \\ :\implies\sf\ 6^2\\ \\ \underline{\boxed{\sf\ \mapsto\ 36}}$

Question b)

$\bullet\sf\ \ \dfrac{2\times 3^4\times 2^5}{9\times 4^2}\\ \\ \\ :\implies\sf\ \dfrac{2^1\times 2^5\times 3^4}{3^2\times \big\{(2)^2\big\}^2}\\ \\ \\ :\implies\sf\ \dfrac{2^{(1+5)}\times 3^4\times 3^{-2}}{2^4}\\ \\ \\ :\implies\sf\ \ 2^6\times 2^{-4}\times 3^{(4-2)}\\ \\ \\ :\implies\sf\ 2^{(6-4)}\times 3^2\\ \\ \\ :\implies\sf\ \ 2^2\times 3^2\\ \\ \\ :\implies\sf\ 4\times 9\\ \\ \underline{\boxed{\sf\ \mapsto \ 36}}$