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Exponent Notation in Beginning & Intermediate Algebra public

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  • What is the base in exponent notation?
    The base is the number being multiplied by itself in exponent notation.
  • What does the exponent or power indicate in exponent notation?
    The exponent or power indicates how many times the base is multiplied by itself.
  • How can the expression 8 × 8 × 8 × 8 be written using exponent notation?
    It can be written as \(8^4\), read as eight to the fourth power.
  • How is a number multiplied by itself n times expressed in exponent notation?
    It is expressed as \(b^n\), or 'b to the nth power.'
  • How do you find the value of an exponential expression?
    Expand it back into repeated multiplication and calculate step-by-step.
  • What does \(7^2\) represent and what is its value?
    \(7^2\) means 7 × 7, which equals 49.
  • What is the exponent 2 often called?
    The exponent 2 is often called "squared".
  • What is the exponent 3 often called?
    The exponent 3 is often called "cubed".
  • How is \(10^3\) expanded and calculated?
    \(10^3\) expands to 10 × 10 × 10, which equals 1,000.
  • Why is exponent notation useful?
    Exponent notation simplifies writing repeated multiplication and helps in understanding and calculating values.