Algebra

Question 1

Law of Exponent
a^n * a^m

Answer 1

a^(n+m)

Question 2

Law of Exponent
(a^n)^m

Answer 2

a^(n*m)

Question 3

Law of Exponent
(a^n)/(a^m)

Answer 3

a^(n-m)

Question 4

Law of Exponent
(a*b)^n

Answer 4

(a^n)*(b^n)

Question 5

Law of Exponent
(a/b)^n

Answer 5

(a^n)/(b^n)

Question 6

Law of Exponent
a^(-n)

Answer 6

1/(a^n)

Question 7

Law of Radical
n root of (a^m)

Answer 7

a^(m/n)

Question 8

Law of Radicals
n root of (a*b)

Answer 8

(n root of a)*(n root of b)

Question 9

Law of Radical
n root of [m root of (a)]

Answer 9

a^[1/(m*n)

Question 10

Logarithmic Function

Answer 10

y = b^x 》》》 logb(y) = x

Question 11

Law of Logarithmic
Log(a*b)

Answer 11

Log(a) + Log(b)

Question 12

Law of Logarithmic
Log(a/b)

Answer 12

Log(a) - Log(b)

Question 13

Law of Logarithmic
Log(a^n)

Answer 13

n*Log(a)

Question 14

Law of Logarithmic
Logb(a)

Answer 14

[Log(a)]/[Log(b)]

Question 15

Quadratic Equation

Answer 15

x = [-b + sqroot(b^2 - 4ac)]/ 2a
x = [-b - sqroot(b^2 - 4ac)]/ 2a

Question 16

Sum of Roots

Answer 16

-b/a

Question 17

Product of Roots

Answer 17

c/a

Question 18

Equal Roots

Answer 18

(b^2) - (4ac)
DISCRIMINANT

Question 19

Arithmetic Progression

Answer 19

an = am + (n-m)d

Question 20

Geometric Progression

Answer 20

an = am*r^(n-m)