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7.1 Zero and Negative Exponents. Objective: To simplify expressions involving zero and negative exponents. 7.1 Zero and Negative Exponents. Make a conjecture about how the value of an exponent expression changes when you decrease the exponent by 1. What about ?.
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7.1 Zero and Negative Exponents Objective: To simplify expressions involving zero and negative exponents
7.1 Zero and Negative Exponents • Make a conjecture about how the value of an exponent expression changes when you decrease the exponent by 1. • What about ?
7.1 Zero and Negative Exponents • Always True: Any value (except zero) raised to the zero power is ? • Negative exponents, move position from numerator to denominator change SIGN. • = (-==
7.1 Zero and Negative Exponents • Only the base with the Negative SIGN Moves. • == 2 • =
7.1 Zero and Negative Exponents • Example 1: • = • =
7.1 Zero and Negative Exponents • Example 2: • = • = • P. 419 Got it #1a, b, c, d, e • Got it #2a, b, c, d, e
7.1 Zero and Negative Exponents • Example 3: What is value of • when s = 2 & t = -3 • Method 1: Simplify Method 2: Substitute first: first: • P. 420Got it #3a, b, c, d, e
7.1 Zero and Negative Exponents • Example 4: A population of marine bacteria doubles every hour. The number of bacteria is modeled by the expression 1000 • Evaluate the expression for h = 0 and h = -3.
7.1 Zero and Negative Exponents • Homework P. 421 9 -41 odds