Zero and Negative Exponents. Raising a Number to the Zero Power  Anything raised to the zero power is 1, except 0 to the zero power.  0 to the zero.

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Presentation transcript:

Zero and Negative Exponents

Raising a Number to the Zero Power  Anything raised to the zero power is 1, except 0 to the zero power.  0 to the zero power is undefined.

Negative Exponents  A negative exponent is telling you to divide by that number – or find the reciprocal of that number, then raise it to the power indicated.  For example, 5 -2 is telling you to divide by 5 2 or to flip 5 2 ( ), then square the 5 → ( ).  In the case of variables, you can just move it from top (numerator) to bottom (denominator) or vice versa.  For example, would change to

5050 A.0 B.1 C.-1 D.5 [Default] [MC Any] [MC All]

-3 0 A.0 B.1 C.-1 D.3 [Default] [MC Any] [MC All]

(-6) 0 A.0 B.1 C.-1 D.-6 [Default] [MC Any] [MC All]

3 -2 [Default] [MC Any] [MC All]

[Default] [MC Any] [MC All]

5 ∙ 10 0 A.5 ∙ 0 = 0 B.5 ∙ 1 = 5 C.5 ∙ 10 = 50 D.5 ∙ -1 = -5 [Default] [MC Any] [MC All]

[Default] [MC Any] [MC All]

[Default] [MC Any] [MC All]

[Default] [MC Any] [MC All]

[Default] [MC Any] [MC All]

Try these… 1. A square foot is 3 –2 square yards. Simplify this expression. Simplify –6 3. (–7) – – –121

Try these… Evaluate each expression for the given value(s) of the variables(s). 6. x –4 for x =10 7. for a = 6 and b = 3 Simplify the following. There should be no negative exponents