Question

Simplify 8 ka power 3 by 3 ka power 3 into 9 ka power 5 by 4 car power 2 into 25 ka power 4 into 15 ka power 7

Answer 1

Answer:

$( \frac{ 8 }{ 3 } ) ^ { 3 } \times ( \frac{ 9 ^ { 4 } }{ 4 ^ { 2 } } ) \times ( \frac{ 25 ^ { 4 } }{ 15 ^ { 7 } } )$

Step-by-step explanation:

$\frac{512}{27}\times \left(\frac{9^{4}}{4^{2}}\right)\times \left(\frac{25^{4}}{15^{7}}\right)$

$\frac{512}{27}\times \left(\frac{6561}{4^{2}}\right)\times \left(\frac{25^{4}}{15^{7}}\right)$

$\frac{512}{27}\times \left(\frac{6561}{16}\right)\times \left(\frac{25^{4}}{15^{7}}\right)$

$\frac{3359232}{432}\times \left(\frac{25^{4}}{15^{7}}\right)$

$7776\times \left(\frac{25^{4}}{15^{7}}\right)$

$7776\times \left(\frac{390625}{15^{7}}\right)$

$7776\times \left(\frac{390625}{170859375}\right)$

$7776\times \left(\frac{5}{2187}\right)$

$\frac{7776\times 5}{2187}$

$\frac{38880}{2187}$

$\frac{160}{9}$

17.7777

This is right answer.