Question

simplify (5/7)cube×(5/7) power 6​

Answer 1

Step-by-step explanation:

$(\frac{5}{7})^{3}$ × $(\frac{5}{7} )^{6}$                              [∵$a^{x} * a^{y}$ = $a^{x+y}$]

=  $(\frac{5}{7} )^{3+6}$

= $(\frac{5}{7} )^{9}$

= $\frac{5*5*5*5*5*5*5*5*5}{7*7*7*7*7*7*7*7*7}$

= $\frac{19,53,125}{4,03,53,607}$ (Ans)

Answer 2

Step-by-step explanation:

(5/7)³×(5/7)^6

=(5³/7³)×(5^6/7^6)

=(125/343)×(5³.5³/7³.7³). (a^m.aⁿ=a^m+n)

=(125/343)(125×125/343.343)

=(125/343)(15625/117649)

=19,53,125/4,03,53,607