8.2

8.2 applying exponent properties involving quotients : **Rosemary Wall**

words: to divide powers having the same base, subtract the exponents.
 * Main Idea**:quotient of powers property, let a be a nonzero real number and let m and n be positive integers such that m>n.

problem # 1
 * Solved Problems:**

5 to the 6th power over 5 to the 2nd power.

steps: 5 is over 5 so that stays the same. the 6th exponent is over the 2nd exponent so all you do is just subtract them.

solution: your solution is 5 to the 4th power

problem # 2
 * Unsolved Problems:**

in parenthesis p over q close parenthesis. then to the the 4th power outside the parenthesis.

main ideas: quotient of powers property to divide powers having same base subtract exponents - power if a quotient property to find the power of the numerator and the power of the denominator and divide

problem 1: (4x 2) 3

5y solution: (4x 2)3 = 4 3x (x 2) 3 _ __(5y) 3 5 3 y3__

__= 6 4x 6__ __ 125y3

dalina nguyen

=__8.2 Applying Exponent Properties involving Quotients: Jacob Betts__=


 * Main Idea**:
 * Subtract the numerator exponent by the denominator exponent.
 * "Sprinkle" the exponent onto the fraction and make sure the denominator is not 0.
 * Solved Problem:**

(6^11) / (6^5) write the original problem down

6^6 subtract the numerator exponent by the denominator exponent


 * Unsolved Problem:**

(5^12) / (5^6)


 * Solved Problem:**

(x/y)^7 write the original problem down

(x^7) / (y^7) "sprinkle" the exponent onto the fraction


 * Unsolved fraction:**

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