CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

Solve $$\dfrac{{{{12}^4} \times {9^3} \times 4}}{{{6^3} \times {8^2} \times 27}}$$


Solution

$$\dfrac {12^9\times 9^3 \times 4}{6^3\times 8^2\times 27}\ \Rightarrow \ \dfrac {(3\times 4)^4\times (3^2)^3\times 4}{(3\times 2)^3\times (4\times 2)^2\times (3^3)}$$

$$\Rightarrow \ \dfrac {3^4\times 4^4\times 3^3\times 4}{3^3\times 2^3\times 4^2\times 2^2\times 3^3}$$

$$\Rightarrow \ \dfrac {3^4\times (2^2)^4}{2^3\times (2^2)^2}\ \Rightarrow \dfrac {3^4\times 2^8}{27}\ \Rightarrow \ 3\times 3^4$$

$$\Rightarrow \ 2\times (9)^2\ \Rightarrow \ 81\times 2\ \Rightarrow \ 162$$

$$\therefore \ \dfrac {12^4\times 9^3\times 4}{6^3\times 8^2\times 27}=162$$


Mathematics

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
People also searched for
View More



footer-image