Find `n` such that `(2/3)^3xx(2/3)^5=(2/3)^n^(-2)` `((125)/8)^5xx((125)/8)^n=(5/2)^(18)`

Find the value of n in each of the following: (3/2)^4xx(3/2)^5=(3/2)^(2n)^(+1) (2/3)^(10)xx{(3/2)^2}^5=(2/3)^(2n)^(-2)

Evaluate : 5^(-4)xx(125)^((5)/(3))+(25)^(-(1)/(2))

Find n if : a. ((4)/(49))^(5)xx((4)/(49))^(n-3)=((2)/(7))^(16) b. ((5)/(7))^(12)xx[((7)/(5))^(2)]^(8)=((7)/(5))^(2n-6) c. ((9)/(25))^(4)xx((9)/(25))^(n)=((3)/(5))^(12) d. ((3)/(5))^(20)xx[((5)/(3))^(3)]^(6)=((3)/(5))^(3n-13)

Evaluate : ((27)/(125))^((2)/(3))xx((9)/(25))^(-(3)/(2))

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

Find the value of n : (2^(3)xx5^(n+1)xx10^(2)xx5^(n-1))/(125xx5^(n-2)xx2^(7))=(25)/(4)

Find n if : a. (3^(4))^(5)=(3^(2))^(n) b. 5^(12)=125^(n) c. 7^(2n+4)xx7^(4)=(7^(8))^(2) d. 8^(6)=64^(n)

Evaluate : (64)^((2)/(3))-root(3)(125)-(1)/(2^(-5))+(27)^(-(2)/(3))xx((25)/(9))^(-(1)/(2))

Simplify : a. [(3^(3))xx3^(4)]-:3^(4) b. 18^(6)-:3^(12) c. [(5^(6))^(9)xx(5^(15))^(5)]-[(5^(13))^(5)xx(5^(4))^(16)] d. (3^(5)xx10^(5)xx25)-:(5^(7)xx6^(5)) e. ((2)/(b))^(18)xxb^(12)xx(3^(4))^(3) f. [(2^(4))^(2)xx2^(12)]-:4^(2) g. 12^(8)-:3^(6) h. [(7^(7))^(8)xx(7^(9))^(5)]-[(7^(11))^(6)xx(7^(7))^(5)] i. (25^(2)xxp^(4)xxq^(8))-:(5^(3)xxp^(4)xxq^(7)) j. ((a)/(3))^(24)xx2^(8)xx(3^(6))^(4)

Evaluate for x (sqrt((5)/(3)))^(x-8)=((27)/(125))^(2x-3)