Understanding Exponents
An exponent is the number of times something is to be multiplied by itself, so x5 means x has been multiplied by itself five times - x*x*x*x*x. Typically, exponents will be one step behind normal numbers.
Adding and/or Subtracting
Same base AND same exponent needed - x3 + 2x3
Add or subtract each of the coefficients, but nothing to the base number or exponent.
Multiply and/or Divide
Same base needed - y3•y4
Multiply any coefficients, add the exponents; divide each of the coefficients, and then finally subtract the exponents to get the answer.
Raising to a power
Things being raised to a power, typically with parentheses - (4w3xz2)5)
Raise any coefficients to the outside power, and then simply multiply the exponents for the answer.
TIP: Watch the particular placement of parentheses in the question. Anything found inside the parentheses should be raised to the outside power:
Because any two negative numbers multiplied together become positive, any negative number raised to an even numbered power will become a positive number: Additionally, a negative number that is raised to an odd-numbered power will become a negative number: When raising fractions to a particular power, it is important to remember that the numerator and denominator can be split to make the problem easier.