Roots, Exponents, Scientific Notation

If an equation results in a variable equal to a number it has

only one solution

A negative exponent over a fraction means that

the base is on the wrong side of the fraction line, you need to multiply the exponents and then flip the numerator and the denominator and make them positive.

(3/10)^-3 =

(10/3)^3

If a term is raised to the 0 power it is the same as

^1

Whenever solving an expression for one of many included variables (with assumption that the variable has a solution) always

bring all instances of that variable over to one side before simplifying.

What is -2/2

-1

a^-n

1/a^n

(xy)^2 is the same as

x^2 times y^2

If there is a negative sign in front of an expression within parentheses, you

distribute the negative

If we end up with the same term on both sides of the equal sign, such as 4 = 4 or 4x = 4x then we have

infinite solutions

5^-3/5^8 simplified

5^-13

Any time a positive or negative number is squared it becomes

a positive

Negative Exponent divided by a negative exponent is actually

adding the lower exponent (because its a double negative while attempting to subtract)

If we end up with different numbers on either side of the equal sign, as in 4 = 5, then we have

no solutions