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15 Cards in this Set

  • Front
  • Back
a to the m power divided by a to the n power equals
a to the m minus n power
a to the m power times a to the n power equals
a to the m times n power
anything to the zero power
one
a fraction to the m power is simplified by
distributing the exponent to the top and bottom of the fraction
a product raised to a power is simplified by
distributing the exponent to each of the numbers or variables in the parenthesis
a to the negative n power is simplified by
moving a to the positive power to the bottom of the fraction
If there is a negative exponent in the bottom of a fraction remove it by
moving it to the top of the fraction and removing the negative sign
If a fraction is raised to a negative exponent, remove the negative exponent by
flipping the fraction
When multiplying with like bases, what do you do with the exponents?
Add them. Keep the same base.
When dividing with like bases, what do you do with the exponents?
Subtract them. Keep the same base.
When dividing or multiplying exponents with different bases, the exponent rule that can be used
Does not exist.
Like terms have the same what?
Bases and exponents
When adding like terms, do you add the exponents?
NO! You only add exponents when the problem is a multiplication problem.
When distributing, do you add exponents? Ex. 3x(x + 4)
Yes, when multiplying 3x times x, but then no more.
Simplify
-2x(x - 3) + x(2x + 1)
7x