Integers as Exponent

• Exponent


  The power to which a number or expression is raised
• Laws of exponents

  1. Product rule: a^m * a^n = a^(m+n)

  2. Quotient rule: a^m / a^n = a^(m-n)

  3. Power to a power rule: (a^m)^n = a^(m*n)

  4. Product to a power rule: (a*b)^m = a^m * b^m

  5. Quotient to a power rule: (a/b)^m = a^m / b^m

  6. Zero exponent rule: a^0 = 1

  7. Negative exponent rule: a^(-n) = 1 / a^n
• Integers can be used as exponents
• Evaluating expressions with integer exponents

  1. Apply the laws of exponents

  2. Simplify the expression by combining like terms and performing operations
• Negative exponents represent the reciprocal of the base
• Raising a product or quotient to a power means raising each factor to that power
• Raising a power to a power means multiplying the exponents