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)`

Find: d. 4 (4)/(7) xx 5 (3)/(5)

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)

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)

Simplify : a. 15^(7)-:5^(3) b. ((5^(4))^(3)xx2^(12))/(3^(12)) c. ((4^(3))^(2)xx5^(6))/(10^(6)) d. (2xx3^(4)xx2^(5))/(9xx4^(2)) e. (2^(2)xx3^(4)xx16)/(3^(2)xx32) f. (4^(5)xxa^(8)xxb^(16))/(4^(4)xxa^(7)xxb^(4))

Evaluate : 7^(0)xx(25)^(-(3)/(2))-5^(-3)

Evaluate : a. (-1)^(11) b. (-3)^(2)xx(5)^(3) c. 6^(2)xx3^(3) d. (-2)^(3)xx(-5)^(2) e. (-1)^(7)xx2 f. (-1)^(4)xx(-1)^(5) g. 4^(3)xx3^(4) h. (-2)^(5)xx5^(3) i. (-4)^(3)xx(-6)^(3) j. (-1)^(33)xx(-3)^(1) k. ((-1)/(6))^(2) l. ((2)/(11))^(3)

Simplify and write the answer in exponential form. a. (4^(3)xx10^(5))/(2^(3)xx5^(4)) b. ((6^(4))^(4)xx5^(8)xxa^(6))/(9^(9)xx10^(6)) c. (15^(32)xx12^(15)xx54^(4))/(25^(12)xx18^(8)xx9^(2)) d. (8^(4)xx6^(4))/(2^(8)xx3^(3)) e. (8^(12)xx(9^(2))^(5)xx5^(6))/(6^(9)xx15^(4)) f. (21^(16)xx70^(8)xx36^(15))/(49^(4)xx15^(5)xx24^(6))

Evaluate: |(1)/(3)-(3)/(5)|+|(2)/(9)xx(3)/(4)|-|(5)/(6)-(2)/(3)|

Find the product. -3(6)/(7)xx5(4)/(9)

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