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 To simplify expressions containing positive integral exponents.  To solve exponential equations.

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Presentation on theme: " To simplify expressions containing positive integral exponents.  To solve exponential equations."— Presentation transcript:

1  To simplify expressions containing positive integral exponents.  To solve exponential equations.

2 Coefficient Base Exponent

3 Product or Quotient Expanded Form Simplified Form Suggested Relationship

4 Laws of Exponents For all positive integers m and n and all real numbers b, 1. where m > n and b ≠ 0 2. where n > m and b ≠ 0

5 Simplify.

6 Laws of Exponents For all positive integers m and n and all real numbers a and b, 1. 2. 3.

7 Simplify.

8

9 Solving Exponential Equations 1. Find common base. 2. Set the exponents equal to each other. 3. Solve the equation.

10 Solve the equation. 1. Find common base. 2. Set the exponents equal to each other. 3. Solve the equation.


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