MBF3C Lesson #1: Review of Exponent Rules

 When multiplying powers with the same base, keep the base and add the exponents. When dividing powers with the same base, keep the base and subtract the exponents. To simplify a power of a power, keep the base and multiply the exponents. For example,

 When a number, variable, or expression is raised to a power, the number, variable, or expression is called the base and the power is called the exponent.

 An exponent means that you multiply the base by itself that many times.  For example x 4 = x ● x ● x ● x ● x ● x ● x ● x ● x ● x ● x 2 6 = 2 ● 2 ● 2 = 64 = 64

 When an expression does not have a visible exponent its exponent is understood to be 1.

 When multiplying two expressions with the same base you add their exponents.  For example

 Try it on your own:

 When dividing two expressions with the same base you subtract their exponents.  For example

 Try it on your own:

 When raising a power to a power you multiply the exponents  For example

 Try it on your own

 When using this rule the exponent can not be brought in the parenthesis if there is addition or subtraction You would have to use FOIL in these cases

 When a product is raised to a power, each piece is raised to the power  For example

 Try it on your own

 This rule is for products only. When using this rule the exponent can not be brought in the parenthesis if there is addition or subtraction You would have to use FOIL in these cases

 When a quotient is raised to a power, both the numerator and denominator are raised to the power  For example

 Try it on your own

CLASS/HOMEWORK: REVIEW OF EXPONENT RULES Complete Q# 1, 2, 3,4 on p and Q#1-3 on p. 360.

 When anything, except 0, is raised to the zero power it is 1.  For example ( if a ≠ 0) ( if x ≠ 0)

 Try it on your own ( if a ≠ 0) ( if h ≠ 0)

 If b ≠ 0, then  For example

 If b ≠ 0, then  Try it on your own:

 The negative exponent basically flips the part with the negative exponent to the other half of the fraction.

 For a problem to be completely simplified there should not be any negative exponents

CLASS/HOMEWORK: Zero and Negative Exponents: COMPLETE Q #1-4 ON PAGE 364 OF YOUR TEXTBOOK!

 The intensity of an earthquake can range from 1 to The Richter scale is a base-10 exponential scale used to classify the magnitude of an earthquake. An earthquake with an intensity of or 10 5, has a magnitude of 5 as measured on the Richter scale. The chart shows how magnitudes are related:

 An earthquake measuring 2 on the Richter scale can barely be felt, but one measuring 6 often causes damage. An earthquake with magnitude 7 is considered a major earthquake. a. How much more intense is an earthquake with magnitude 6 than one with magnitude 2? b. How much more intense is an earthquake with magnitude 7 than one with magnitude 6?

 Rule #1: When multiplying two expressions with the same base, I know that you must add their exponents.  Rule #2: When dividing two expressions with the same base, I know that you must subtract their exponents  Rule #3: When raising a power to a power, I understand that you must multiply the exponents  Rule #4: When a product is raised to a power, I understand that each piece must be raised to the power.  Rule #5: When a quotient is raised to a power, I understand that both the numerator and denominator are raised to the power  I can use the exponent rules to simplify and evaluate a variety of expressions involving exponents; including expressions that include negative exponents and zero has an exponent.  I can evaluate a variety of exponential expressions that have an integer or a rational number as a base.