Definition of index notation <latex>a^n</latex>

• What does the index notation $a^{n}$ represent?


  Base $a$ multiplied by itself $n$ times
• How can $3^{4}$ be expressed in multiplication form?


  $3 \times 3 \times 3 \times 3$
• How is the base defined in the expression $3^{4}$?


  The base is 3, multiplied by itself 4 times
• What does the base represent in $a^{n}$?


  The number being multiplied
• What is the definition of index notation?

  • Represents repeated multiplication
  • Written as $a^{n}$
  • Base $a$ multiplied by itself $n$ times
• Why is index notation used?

  It simplifies showing repeated multiplication
• What is the exponent in index notation $a^{n}$?


  It is the small number above the base
• What is $3^{4}$ equal to?


  $81$
• How is $a^{n}$ defined mathematically?


  It means multiplying $a$ by itself $n$ times
• What is the value of $4^{3}$?


  $64$
• What is the exponent in $a^{n}$?


  The number of times to multiply
• What does the base represent in an exponential expression?

  It represents the starting number for multiplication
• What does the multiplication $3 \times 3 \times 3 \times 3$ represent in terms of exponents?


  It represents $3^{4}$
• What does the exponent in $a^{n}$ indicate?


  How many times to multiply the base
• In the expression $3^{4}$, how many times is the base multiplied by itself?


  4 times
• In the expression $5^{2}$, what is the base?


  5
• If $a =$$2$ and $n =$$4$, what is $a^{n}$?


  $16$
• How does $4^{3}$ relate to the concept of exponents?


  It illustrates repeated multiplication of a base
• What is the result of multiplying $3 \times 3 \times 3 \times 3$?


  81
• What is the base in index notation $a^{n}$?


  The number being multiplied repeatedly