1. 7-5 Division Properties of Exponents Hubarth Algebra

3. Ex 1 Simplifying an Algebraic Expression Simplify each expression. x4x9x4x9 a. Rewrite using positive exponents. 1 x 5 = p 3 j –4 p –3 j 6 Simplify. Rewrite using positive exponents. p 6 j 10 = b. Subtract exponents when dividing powers with the same base.

4. Simplify. 3 y 3 4 3 4 y 12 =Multiply the exponent in the denominator. 81 y 12 = Simplify. 3 y 3 4 3434 (y 3)4(y 3)4 = Raise the numerator and the denominator to the fourth power. Ex 2 Raising Quotient to a Power

5. Ex 3 Simplifying an Exponential Expression a. Simplify. 2323 –3 3 33233323 = Raise the numerator and the denominator to the third power. Simplify. 27 8 = 2323 –3 3232 3 = Rewrite using the reciprocal of. 2323 b. Simplify (–c) 2 (4b) 2 = c 2 16b 2 = 4bc4bc – 4bc4bc – –2 c4b c4b – 2 = c 4b – 2 = –2.