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# Algebra 6 Point 4

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### Algebra 6 Point 4

1. 1. 6.4 Negative Exponents<br />Objective: <br /><ul><li>To simplify expressions with integral exponents
2. 2. To evaluate monomials with integral exponents</li></ul>Frameworks: 10.P.1, 10.P.7<br />
3. 3. What is 50?<br />53 = 53-3 = 50 = 1<br />53<br />A zero exponent evaluates to 1<br />
4. 4. Zero Exponent<br />For each nonzero real number b,<br />b0 = 1 (00 is undefined.)<br />
5. 5. Try some: (x ≠ 0)<br />4x0<br />(5x)0<br />xy0<br />(7x6)0<br />
6. 6. What about a2/a5?<br />a * a<br />a * a * a * a * a<br /> = 1/(a * a * a)<br /> = a-3<br />1 = 1<br />x-3 = 1<br />x3<br />= x3<br />
7. 7. Negative Exponent<br />For each nonzero real number b and for each positive integer n,<br />b-n= 1 and 1 = bn<br />bn b-n<br />
8. 8. Try some:<br />35* 3-8<br />(ab-7)(-b-3)<br />Evaluate 3x-4 for x = -2<br />
9. 9. Simplify using only positive exponents:<br />(x-8y-5)(x10y-2)<br />
10. 10. Simplify using only positive exponents:<br />3x-5<br />7y-2<br />
11. 11. Turn to page 212<br />Do 1-14<br />