Simplify:
a. `(2^(3))^(6)`
b. `(3^(4))^(7)`
c. `(10^(15))^(30)`
d. `(6^(12))/(9^(12))`
e. `(16^(5))/(6^(5))`

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))

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 and write in exponential form. a. 5^(89)xx5^(54) b. (-9)^(157)xx9^(23) c. (-7)^(13)xx(-7)^(33) d. 6^(125)xx6^(88) e. (-12)^(255)xx12^(45) f. (-4)^(66)xx(-4)^(44)

Evaluate : a. (-9)^(6)-:3^(6) b. 15^(5)-:3^(5)xx5^(2) c. (7^(0)+12^(0))xx6^(0) d. (23^(0)+32^(0))-:22^(0)

Simplify : ( 16 xx 10 ^(4) xx 3^(3))/( 6^(5) xx 5^(6))

Simplify : b. (5)/(9) div ((3)/(10) xx (5)/(12))

Simplify : 5{(-6)+(12div4)}

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))

Simplify: 4 5/6-2 3/8+3 7/(12)

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)