Positive Integral Exponents

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

Coefficient

Base

Exponent

Product or Quotient

Expanded Form

Simplified Form

Suggested Relationship

Laws of ExponentsFor all positive integers m and n and all real numbers b,

1.

where m > n and b ≠ 02. where n > m and b ≠ 0

Simplify.

Laws of ExponentsFor all positive integers m and n and all real numbers a and b,

1.

2.

3.

Simplify.

Simplify.

Solving Exponential Equations

1. Find common base.

2. Set the exponents equal to each other.

3. Solve the equation.

Solve the equation.

1. Find common base.

2. Set the exponents equal to each other.

3. Solve the equation.