WORDS ZERO PRODUCT PROPERTY: A base raised to the power of 0 is equal to 1 NEGATIVE EXPONENT PROPERTY: A negative exponent of a number is equal to the reciprocal of the positive exponent of the number PRODUCT OF POWERS PROPERTY: When multiplying terms (with the same base) containing exponents, ADD the exponents QUOTIENT POWER PROPERTY: When dividing terms (with the same base) containing exponents, SUBTRACT the exponents POWER OF A POWER PROOPERTY: When a term with an exponent is being raised to a power POWER OF A PRODUCT PROPERTY: To find the power of a product, distribute the exponent POWER OF A QUOTIENT PROPERTY: To find the power of a quotient, distribute the exponent SYMBOLS 𝑎 0 =1 𝑎 −𝑚 = 1 𝑎 𝑚 𝑎 −𝑚 𝑛 = 1 𝑎 𝑚 𝑛 𝑤ℎ𝑒𝑟𝑒 𝑎≠0, 𝑛≠0 𝑎 𝑚 ∙ 𝑎 𝑛 = 𝑎 𝑚+𝑛 𝑎 𝑚 𝑎 𝑛 = 𝑎 𝑚−𝑛 𝑎 𝑚 𝑛 = 𝑎 𝑚∙𝑛 𝑎𝑏 𝑚 = 𝑎 𝑚 𝑏 𝑚 𝑎 𝑏 𝑚 = 𝑎 𝑚 𝑏 𝑚 NUMBERS 8 0 =1 3 −2 = 1 3 2 = 1 9 4 −2 3 = 1 4 2 3 𝑥 3 ∙ 𝑥 4 = 𝑥 7 2 3 ∙ 2 2 = 2 5 =32 𝑥 6 𝑥 4 = 𝑥 2 3 9 3 6 = 3 3 =27 𝑥 3 4 = 𝑥 12 2𝑥 3 = 2 3 𝑥 3 = 8𝑥 3 2 𝑥 3 = 2 3 𝑥 3 = 8 𝑥 3

Exponents to Radicals 𝒙 𝟏 𝟐 𝟓 𝟏 𝟑 𝒚 𝟑 𝟐 𝟖 𝟑 𝟓 𝒙 𝟑 𝟓 𝒚 𝟑 𝟓 𝟖 𝟑

Radicals to Exponents 𝒙 𝟑 𝒚 𝟒 𝟓 𝟒 𝟑 𝒙 𝟐 𝒙 𝟏 𝟐 𝒚 𝟒 𝟑 𝟒 𝟑 𝟓 𝒙 𝟐 𝟐 𝟑 𝒚 𝟒 𝟓 𝟒 𝟑 𝒙 𝟐 𝒙 𝟏 𝟐 𝒚 𝟒 𝟑 𝟒 𝟑 𝟓 𝒙 𝟐 𝟐 = 𝒙 𝟏 =𝒙