((2)/(3))^(-5)

((2)/(3))^(4)times((3)/(2))^(5)times((5)/(3))^(-2)times((3)/(5))^(-3)

Simplify : ((2)/(3))^(2)xx((2)/(5))^(-3)xx((3)/(5))^(2)

Simplify ((-2)^(3))^(2)+5^(-3)-:5^(-5)-(-(1)/(2))^(0)]

((5^(3))^(-2)times(5^(2))^(-3)times(6)^(5))/((2)^(3)times(3)^(2)times(5)^(5))

The sum of the infinite series, 1 ^(2) -(2^(2))/(5) + (3 ^(2))/(5 ^(3))+ (3^(2))/(5 ^(3))+ (5 ^(2))/(5 ^(4))-(6 ^(2))/(5 ^(5)) + ..... is:

The sum of the infinite series,1^(2)-(2^(2))/(5)+(3^(2))/(5^(2))-(4^(2))/(5^(3))+(5^(2))/(5^(4))......is

The sum of the infinite series, 1 ^(2) -(2^(2))/(5) + (3 ^(2))/(5 ^(2))+ (4^(2))/(5 ^(3))+ (5 ^(2))/(5 ^(4))-(6 ^(2))/(5 ^(5)) + ..... is:

Find the sum of each of the following infinite geometric series, if it exists : (2)/(5) + (3)/(5^(2)) + (2)/(5^(3)) + (3)/(5^(4)) + (2)/(5^(5)) + (3)/(5^(6)) +…oo

Simplify :- (2+sqrt(3))^(5)+(2-sqrt(3))^(5)