[(2/3)^{2}*(-2/3)^{3}*(-2/3)^{4}]^{2}:[-(-2/3)^{5}]^3+(-frac{2}{3})^3-(frac{2}{7})^4*(-frac{7}{4})^4 সমাধান কৰক

$$[ ( \frac { 2 } { 3 } ) ^ { 2 } \cdot ( - \frac { 2 } { 3 } ) ^ { 3 } \cdot ( - \frac { 2 } { 3 } ) ^ { 4 } ] ^ { 2 } : [ - ( - \frac { 2 } { 3 } ) ^ { 5 } ] ^ { 3 } + ( - \frac { 2 } { 3 } ) ^ { 3 } - ( \frac { 2 } { 7 } ) ^ { 4 } \cdot ( - \frac { 7 } { 4 } ) ^ { 4 }$$

মূল্যায়ন

$$-\frac{1}{16}=-0.0625$$

সমাধান পদক্ষেপসমূহ

একে আধাৰৰ পাৱাৰ পূৰণ কৰিবলৈ, সেইবোৰৰ ঘাতসমূহ যোগ কৰক। 7 পাবলৈ 3 আৰু 4 যোগ কৰক।

$$\frac{\left(\left(\frac{2}{3}\right)^{2}\left(-\frac{2}{3}\right)^{7}\right)^{2}}{\left(-\left(-\frac{2}{3}\right)^{5}\right)^{3}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

2ৰ পাৱাৰ \frac{2}{3}ক গণনা কৰক আৰু \frac{4}{9} লাভ কৰক৷

$$\frac{\left(\frac{4}{9}\left(-\frac{2}{3}\right)^{7}\right)^{2}}{\left(-\left(-\frac{2}{3}\right)^{5}\right)^{3}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

7ৰ পাৱাৰ -\frac{2}{3}ক গণনা কৰক আৰু -\frac{128}{2187} লাভ কৰক৷

$$\frac{\left(\frac{4}{9}\left(-\frac{128}{2187}\right)\right)^{2}}{\left(-\left(-\frac{2}{3}\right)^{5}\right)^{3}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

-\frac{512}{19683} লাভ কৰিবৰ বাবে \frac{4}{9} আৰু -\frac{128}{2187} পুৰণ কৰক৷

$$\frac{\left(-\frac{512}{19683}\right)^{2}}{\left(-\left(-\frac{2}{3}\right)^{5}\right)^{3}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

2ৰ পাৱাৰ -\frac{512}{19683}ক গণনা কৰক আৰু \frac{262144}{387420489} লাভ কৰক৷

$$\frac{\frac{262144}{387420489}}{\left(-\left(-\frac{2}{3}\right)^{5}\right)^{3}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

5ৰ পাৱাৰ -\frac{2}{3}ক গণনা কৰক আৰু -\frac{32}{243} লাভ কৰক৷

$$\frac{\frac{262144}{387420489}}{\left(-\left(-\frac{32}{243}\right)\right)^{3}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

-\frac{32}{243}ৰ বিপৰীত হৈছে \frac{32}{243}৷

$$\frac{\frac{262144}{387420489}}{\left(\frac{32}{243}\right)^{3}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

3ৰ পাৱাৰ \frac{32}{243}ক গণনা কৰক আৰু \frac{32768}{14348907} লাভ কৰক৷

$$\frac{\frac{262144}{387420489}}{\frac{32768}{14348907}}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

\frac{32768}{14348907}-ৰ ব্যতিক্ৰমৰ দ্বাৰা \frac{262144}{387420489} পুৰণ কৰি \frac{32768}{14348907}-ৰ দ্বাৰা \frac{262144}{387420489} হৰণ কৰক৷

$$\frac{262144}{387420489}\times \frac{14348907}{32768}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

\frac{8}{27} লাভ কৰিবৰ বাবে \frac{262144}{387420489} আৰু \frac{14348907}{32768} পুৰণ কৰক৷

$$\frac{8}{27}+\left(-\frac{2}{3}\right)^{3}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

3ৰ পাৱাৰ -\frac{2}{3}ক গণনা কৰক আৰু -\frac{8}{27} লাভ কৰক৷

$$\frac{8}{27}-\frac{8}{27}-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

0 লাভ কৰিবলৈ \frac{8}{27}-ৰ পৰা \frac{8}{27} বিয়োগ কৰক৷

$$0-\left(\frac{2}{7}\right)^{4}\left(-\frac{7}{4}\right)^{4}$$

4ৰ পাৱাৰ \frac{2}{7}ক গণনা কৰক আৰু \frac{16}{2401} লাভ কৰক৷

$$0-\frac{16}{2401}\left(-\frac{7}{4}\right)^{4}$$

4ৰ পাৱাৰ -\frac{7}{4}ক গণনা কৰক আৰু \frac{2401}{256} লাভ কৰক৷

$$0-\frac{16}{2401}\times \frac{2401}{256}$$

\frac{1}{16} লাভ কৰিবৰ বাবে \frac{16}{2401} আৰু \frac{2401}{256} পুৰণ কৰক৷

$$0-\frac{1}{16}$$

-\frac{1}{16} লাভ কৰিবলৈ 0-ৰ পৰা \frac{1}{16} বিয়োগ কৰক৷

$$-\frac{1}{16}$$

কাৰক

$$-\frac{1}{16} = -0.0625$$