State true or false.
a. `10xx10^(8)=100^(8)`
b. `3^(0)+8^(0)-7^(0)=4`
c. `2^(4)xx4^(2)=8^(6)`
d. `11^(0)+5^(0)-3^(3)=13`

Evaluate : 1. 7^(0)xx4^(0)xx8^(0) 2. (9^(0)+7^(0))xx3^(0)

Evaluate : a. 3^(2)xx10^(3) b. (-1)^(19) c. 0xx15^(5) d. ((2)/(5))^(3) e. 3^(2)xx3^(5) f. (-4)^(10)xx4^(100) g. 6^(10-:6^(5) h. (-2^(5))^(2) i. 7^(7)-:7^(5) j. 10^(5)-:10^(5) k. 11^(0)xx(-5)^(0)xx3^(0) l. (100^(0)+50^(0))xx(-25)^(0)

Find the number : a. (4xx10^(5))+(3xx10^(2))+(7xx10^(0)) b. (3xx10^(6))+(8xx10^(3))+(1xx10^(1))

Calculate the following a. (6.7 xx 10^(5)) xx (4.6 xx 10^(4)) b. (7.6 xx 10^(7)) xx (3.8 xx 10^(-4)) c. (6.8 xx 10^(-3)) xx (5.2 xx 10^(-4)) d. (6.7 xx 10^(5)) / (4.6 xx 10^(4)) e. (7.6 xx 10^(7)) / (3.8 xx 10^(-4)) f. (6.8 xx 10^(-3)) / (3.8 xx 10^(-4)) g. 7.65 xx 10^(2) + 2.72 xx 10^(3) h. 7.87 xx 10^(-4) - 2.61 xx 10^(-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))

0. 25xx0. 8= (a) 0.02 (b) 0.2 (c) 0.002 (d) 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)

What is the ionization constant of an acid if the hydronium ion concentration of a 0.40 M solution is 1.40xx10^(-4) M? (a) 1.96xx10^(-8) (b) 1.22xx10^(-9) (c) 4.90xx10^(-8) (d) 1.40xx10^(-6)

Solve with due regard to significant figure. (3.0 xx10^(-8))+ (4.5 xx 10^(-6)) =

Simplify. (i) (25 xx t^(-4))/(5^3 xx 10 xx t^(-8)) (t != 0) (ii) (3^(-5) xx 10^(-5) xx 125)/(5^(-7) xx 6^(-5))